1. The largest number which divides 224 and 114 leaving remainder 4 and 3 respectively is (a) 15 (6) 21 (C) 5 (d) 10
and pls explain why you did (118-3) becuz our 2nd no. is 114 so it should be (114-3)
pls help, i will mark as brainliest
Answers
Answer:
Option c 5 is the largest number which divides 224 and 118, leaving remainders 4 and 3.
SOLUTION
CORRECT QUESTION
The largest number which divides 224 and 118 leaving remainder 4 and 3 respectively is
(a) 15
(b) 21
(c) 5
(d) 10
CONCEPT TO BE IMPLEMENTED
HCF :
For the given two or more numbers HCF is the greatest number that divides each of the numbers
LCM :
For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers
Relation between HCF and LCM :
HCF × LCM = Product of the numbers
EVALUATION
We have to find the largest number which divides 224 and 118 leaving remainder 4 and 3 respectively
The required number is the HCF of ( 224 - 4 ) & ( 118 - 3 ) i.e the HCF of 220 and 115
Now
220 = 2 × 2 × 5 × 11
115 = 5 × 23
So HCF = 5
Hence the required number = 5
FINAL ANSWER
Hence the correct option is (c) 5
━━━━━━━━━━━━━━━━
Learn more from Brainly :-
If HCF of two numbers be 40 then which of the following cannot be their LCM.
https://brainly.in/question/28609013
2. The HCF and LCM of two numbers are 17 & 1666 respectively. if one of the numbers is 119 find the other
https://brainly.in/question/13812250