find the greatest number which can divide 83, 53 and 77 leaving a remainder 5 in each case
Answers
Answered by
1
Answer: 12
Step-by-step explanation:
Find the numbers without the remainder 5:
89 - 5 = 84
53 - 5 = 48
77 - 5 = 72
Find the Highest Common Factor:
84 = 2² × 3 × 7
48 = 2⁴ × 3
72 = 2³ × 3²
HCF = 2² × 3
HCF = 12
Answered by
0
Answer:
STEP 1 : SUBTRACT THE REMINDER FROM GIVEN NUMBERS
83-5 = 78
77-5 = 72
53-5 = 48
STEP 2 : EXPAND THE NUMBERS
78 = 2×3×13
72 = 2×2×2×3×3
48 = 2×2×2×2×3
STEP 3 : FIND THE GREATEST COMMON NUMBER BETWEEN THEM.
THE GREATEST NUMBER WHICH WHOULD LEAVE THE REMINDER OF '5' AFTER DIVIDING '83', '77', and '53' is "6" (2×3).
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