GCF of 632/87, 381/164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 632/87, 381/164 i.e 1/14268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 632/87, 381/164.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 632/87,381/164?
Given fractions are 632/87,381/164
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 632/87,381/164, numerators are 632,381
Denominators are 87,164
The GCF of 632,381 is 1 .
LCM of 87,164 is 14268.
The greatest common factor of 632/87,381/164 = [GCF of 632,381]/[LCM of 87,164]= 1/14268
Therefore, the GCF of 632/87,381/164 is 1/14268.
To find the highest common factor of 632,381, we have to find the factors of both numbers and list the highest common factor.
The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632
The factors of 381 are 1, 3, 127, 381
The HCF of 632,381 is 1.
Lets's calculate GCF of 632,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 632,381 By Matching Biggest Common Factor Method
Now, list down the factors of 632
:1,2,4,8,79,158,316,632
Now, list down the factors of 381
:1,3,127,381
Greatest Common Factor
We found the factors 632,381 . The biggest common factor number is the GCF number.
So the greatest common factor 632,381 is 1.
Lets's calculate LCM of 87,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 14268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14268
Therefore, the GCF of Fractions 632/87,381/164 is 1/14268
Least Common Multiple of 87,164 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 87,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,164) x common factors =1 x 1 = 1
LCM(87,164) = ( 87 × 164 ) / 1
LCM(87,164) = 14268 / 1
LCM(87,164) = 14268
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FAQs on GCF of Fractions of 632/87, 381/164
1. What is the HCF of 632,381?
The HCF of 632,381 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 632/87, 381/164?
Answer: GCF of Numerators as per given numbers 632/87, 381/164 is
GCF of Numerators i.e. for 632,381 is 1
LCM of denominators i.e. for 87,164 is 14268.
Thus, GCF of Fractions is 1/14268.Finally, GCF of Fractions for 632/87, 381/164 is 1/14268.