The greatest number that will divide 45, 95 and 185, so as to leave the same remainder in each case is
Given:
Numbers: 45, 95, and 185
Formula Used:
Greatest number dividing x, y, and z leaving the same remainder is the HCF of |x - y|, |y - z|, and |z - x|.
Solution:
Differences between the given numbers:
|95 - 45| = 50
|185 - 95| = 90
|185 - 45| = 140
Now, find the HCF of 50, 90, and 140.
Factors of 50 = 2 × 5 × 5
Factors of 90 = 2 × 3 × 3 × 5
Factors of 140 = 2 × 2 × 5 × 7
Common factors = 2 × 5 = 10
HCF = 10
Final Answer
So the correct answer is (d)
English
100 Questions
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90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishThe greatest number that will divide 45, 95 and 185, so as to leave the same remainder in each case is
The greatest number that divides 63, 75 and 93 leaving remainder 3 in each case is:
Write the largest 5 digit number which when divided by 469 leaves 3 as remainder
The greatest number that will divide 527 and 632 leaving remainders 7 and 8, respectively, is:
Find the greatest number that will divide 49, 97 and 189 so as to leave the same remainder in each case.
What is the greatest number which when divides 92 and 215, leaves remainders 7 and 11, respectively?
Suggested Test Series
Suggested Test Series
The greatest number that will divide 45, 95 and 185, so as to leave the same remainder in each case is
The greatest number that divides 63, 75 and 93 leaving remainder 3 in each case is:
Write the largest 5 digit number which when divided by 469 leaves 3 as remainder
The greatest number that will divide 527 and 632 leaving remainders 7 and 8, respectively, is:
Find the greatest number that will divide 49, 97 and 189 so as to leave the same remainder in each case.
What is the greatest number which when divides 92 and 215, leaves remainders 7 and 11, respectively?
