The greatest number which divides 2007 and 2627 leaving remainders 5 and 9 respectively is
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The greatest number which divides 2007 and 2627 leaving remainders 5 and 9 respectively 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.
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Answer:
The greatest number which divides 2007 and 2627 leaving remainders 5 and 9 respectively is 154
Step-by-step explanation:
2007 - 5 = 2002
2627 - 9 = 2618
HCF of 2002 and 2618 = 154