GCF of 863/64, 132/315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 863/64, 132/315 i.e 1/20160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 863/64, 132/315.
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 863/64,132/315?
Given fractions are 863/64,132/315
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 863/64,132/315, numerators are 863,132
Denominators are 64,315
The GCF of 863,132 is 1 .
LCM of 64,315 is 20160.
The greatest common factor of 863/64,132/315 = [GCF of 863,132]/[LCM of 64,315]= 1/20160
Therefore, the GCF of 863/64,132/315 is 1/20160.
To find the highest common factor of 863,132, we have to find the factors of both numbers and list the highest common factor.
The factors of 863 are 1, 863
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The HCF of 863,132 is 1.
Lets's calculate GCF of 863,132
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 863,132 By Matching Biggest Common Factor Method
Now, list down the factors of 863
:1,863
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 863,132 . The biggest common factor number is the GCF number.
So the greatest common factor 863,132 is 1.
Lets's calculate LCM of 64,315
Given numbers has no common factors except 1. So, there LCM is their product i.e 20160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20160
Therefore, the GCF of Fractions 863/64,132/315 is 1/20160
Least Common Multiple of 64,315 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 64,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,315) x common factors =1 x 1 = 1
LCM(64,315) = ( 64 × 315 ) / 1
LCM(64,315) = 20160 / 1
LCM(64,315) = 20160
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FAQs on GCF of Fractions of 863/64, 132/315
1. What is the HCF of 863,132?
The HCF of 863,132 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 863/64, 132/315?
Answer: GCF of Numerators as per given numbers 863/64, 132/315 is
GCF of Numerators i.e. for 863,132 is 1
LCM of denominators i.e. for 64,315 is 20160.
Thus, GCF of Fractions is 1/20160.Finally, GCF of Fractions for 863/64, 132/315 is 1/20160.