2. Find the largest number that will divide 398, 436 and 542 leaving remainders 7, 11, and
15 respectively.
Answers
Answer :-
Answer :-→ 17 .
Answer :-→ 17 .Step-by-step explanation :-
Answer :-→ 17 .Step-by-step explanation :-We have ,
Answer :-→ 17 .Step-by-step explanation :-We have ,→ The number 398, 436 and 542 which when divides by a positive integers leaves remainder as 7, 11, and 15 respectively .
Answer :-→ 17 .Step-by-step explanation :-We have ,→ The number 398, 436 and 542 which when divides by a positive integers leaves remainder as 7, 11, and 15 respectively .→ Clearly, the required number divides ( 398 - 7 ) = 391 , ( 436 - 11 ) = 425, and ( 542 - 15 ) = 527 exactly .
Answer :-→ 17 .Step-by-step explanation :-We have ,→ The number 398, 436 and 542 which when divides by a positive integers leaves remainder as 7, 11, and 15 respectively .→ Clearly, the required number divides ( 398 - 7 ) = 391 , ( 436 - 11 ) = 425, and ( 542 - 15 ) = 527 exactly .•°• Required number = HCF( 391, 425, 527 ) .
Answer :-→ 17 .Step-by-step explanation :-We have ,→ The number 398, 436 and 542 which when divides by a positive integers leaves remainder as 7, 11, and 15 respectively .→ Clearly, the required number divides ( 398 - 7 ) = 391 , ( 436 - 11 ) = 425, and ( 542 - 15 ) = 527 exactly .•°• Required number = HCF( 391, 425, 527 ) .Now,
Answer :-→ 17 .Step-by-step explanation :-We have ,→ The number 398, 436 and 542 which when divides by a positive integers leaves remainder as 7, 11, and 15 respectively .→ Clearly, the required number divides ( 398 - 7 ) = 391 , ( 436 - 11 ) = 425, and ( 542 - 15 ) = 527 exactly .•°• Required number = HCF( 391, 425, 527 ) .Now,→ 391 = 17 × 23 ,
Answer :-→ 17 .Step-by-step explanation :-We have ,→ The number 398, 436 and 542 which when divides by a positive integers leaves remainder as 7, 11, and 15 respectively .→ Clearly, the required number divides ( 398 - 7 ) = 391 , ( 436 - 11 ) = 425, and ( 542 - 15 ) = 527 exactly .•°• Required number = HCF( 391, 425, 527 ) .Now,→ 391 = 17 × 23 ,→ 425 = 5² × 17 ,
Answer :-→ 17 .Step-by-step explanation :-We have ,→ The number 398, 436 and 542 which when divides by a positive integers leaves remainder as 7, 11, and 15 respectively .→ Clearly, the required number divides ( 398 - 7 ) = 391 , ( 436 - 11 ) = 425, and ( 542 - 15 ) = 527 exactly .•°• Required number = HCF( 391, 425, 527 ) .Now,→ 391 = 17 × 23 ,→ 425 = 5² × 17 ,→ 527 = 17 × 31 .
Answer :-→ 17 .Step-by-step explanation :-We have ,→ The number 398, 436 and 542 which when divides by a positive integers leaves remainder as 7, 11, and 15 respectively .→ Clearly, the required number divides ( 398 - 7 ) = 391 , ( 436 - 11 ) = 425, and ( 542 - 15 ) = 527 exactly .•°• Required number = HCF( 391, 425, 527 ) .Now,→ 391 = 17 × 23 ,→ 425 = 5² × 17 ,→ 527 = 17 × 31 .therefore∴ HCF( 391, 425, 527 ) = 17 .
Answer :-→ 17 .Step-by-step explanation :-We have ,→ The number 398, 436 and 542 which when divides by a positive integers leaves remainder as 7, 11, and 15 respectively .→ Clearly, the required number divides ( 398 - 7 ) = 391 , ( 436 - 11 ) = 425, and ( 542 - 15 ) = 527 exactly .•°• Required number = HCF( 391, 425, 527 ) .Now,→ 391 = 17 × 23 ,→ 425 = 5² × 17 ,→ 527 = 17 × 31 .therefore∴ HCF( 391, 425, 527 ) = 17 .Hence, the required number is 17 .
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