Question

the largest number which divides 224 and 114 leaving remainder 4 and 3 respectively​

Answer 1

Step-by-step explanation:

Thus, after subtracting these remainders from the numbers, we have the numbers 220 = (224 – 4), 115 = (118−3), which is divisible by the required number. Hence, 5 is the largest number which divides 224 and 118, leaving remainders 4 and 3

Answer 2

SOLUTION

CORRECT QUESTION

The largest number which divides 224 and 118 leaving remainder 4 and 3 respectively

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

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