To find the LCM and HCF of (96, 404):
Step 1: Find the HCF of 96 and 404:
Using the Euclidean Algorithm:
= 4 , remainder 20
96 20 = 4 , remainder 16
20 16 = 1 , remainder 4
16 4 = 4 , remainder, 0
Thus, the HCF = 4.
Step 2: Use the formula for LCM and HCF:
The relationship between LCM and HCF is:
LCM HCF = Product of the numbers
Substitute the values:
LCM 4 = 96 404
LCM =
Thus, HCF = 4 and LCM = 9696.
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Find the Highest Common Factor (HCF) of 372, 732 and 2196.
If the HCF of the expressions (x + 3) (2x² – 3x + a) and (x – 2) (3x² + 10x – b) is x² + x – 6, then what is the value of (2a – 3b) ?
Reduce to lowest form using HCF
Suggested Test Series
Suggested Test Series
Find the smallest number which, when divided by 12,18 and 24 , leaves a remainder of 5 in each case.
What is the largest 4 digit number that is divisible by 3,7,11,13 ?
The number of pairs of positive integers whose sum is 99 and HCF is 9 is
Find the HCF of 2.8, 11.2 and 0.84 .
Find the smallest number which when increased by 20 is completely divisible by 12, 20, 15, 18 and 24.
The LCM of the numbers 3.7 and 0.068 is:
Find the Highest Common Factor (HCF) of 372, 732 and 2196.
If the HCF of the expressions (x + 3) (2x² – 3x + a) and (x – 2) (3x² + 10x – b) is x² + x – 6, then what is the value of (2a – 3b) ?
Reduce to lowest form using HCF
