The largest number which divides 207, 320 and 419 exactly is
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The largest number which divides 320 and 457 leaving remainders5 and 7 respectively
= HCF of (320−5) and (457−7)
= HCF of 315 and 450
450=315×1+135
315=135×2+45
135=45×3+0
∴ HCF of 450 and 315 is 45.
So, the largest number which divides 320 and 457 leaving remainders 5 and 7 respectively is 45.
I hope you understand this ans
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