Find the largest number which when divides 147 and 234 the the remainders obtained are 12 and 9 respectively.
Hi!
Here is the answer to your question.
The required number is the HCF of the numbers 147 – 12 = 135 and 234 – 9 = 225.
135 = 33 × 5
225 = 32 × 52 H.C.F (135, 225) = 32 × 5 = 9 × 5 = 45
∴The largest number which when divides 147 and 234 leaves the remainders 12 and 9 respectively is 45.
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