the largest number which divides 411,752 and 1013 leaving remainder 8 in each case is
Answers
Answer:
I hope it will help you.
Step-by-step explanation:
A no. divide 411752 leaving remainder 8. so that no. must divide 411752-8=411744
A no. divide 1013 leaving remainder 8. so that no. must devide 1013-8=1005
Largest no. that divide 411752 and 1013 leaving remainder 8 is HCF of 411744 and 1005
And HCF is 3
So your Answer is 3
Please reverify answer by finding HCF of 411744 and 1005
the largest number which divides 411,752 and 1013 leaving remainder 8 in each case is:
Given,
411 - 8 = 403
752 - 8 = 744
1013 - 8 = 1005
The factors of 403 are 1, 13, 31, 403
The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
The factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005
HCF of 403, 744 and 1005 is 1
Therefore, 1 is the largest number which divides 411,752 and 1013 leaving remainder 8 in each case