GCF of 615/64, 656/772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 615/64, 656/772 i.e 41/12352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 615/64, 656/772.
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 615/64,656/772?
Given fractions are 615/64,656/772
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 615/64,656/772, numerators are 615,656
Denominators are 64,772
The GCF of 615,656 is 41 .
LCM of 64,772 is 12352.
The greatest common factor of 615/64,656/772 = [GCF of 615,656]/[LCM of 64,772]= 41/12352
Therefore, the GCF of 615/64,656/772 is 41/12352.
To find the highest common factor of 615,656, we have to find the factors of both numbers and list the highest common factor.
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The HCF of 615,656 is 41.
Lets's calculate GCF of 615,656
| 41 | 615, 656 |
| 15, 16 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 615,656 By Matching Biggest Common Factor Method
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 615,656 . The biggest common factor number is the GCF number.
So the greatest common factor 615,656 is 41.
Lets's calculate LCM of 64,772
| 2 | 64, 772 |
| 2 | 32, 386 |
| 16, 193 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 193 = 12352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/12352
Therefore, the GCF of Fractions 615/64,656/772 is 41/12352
Least Common Multiple of 64,772 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 64,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,772) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(64,772) x common factors =4 x 1 = 4
LCM(64,772) = ( 64 × 772 ) / 4
LCM(64,772) = 49408 / 4
LCM(64,772) = 12352
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FAQs on GCF of Fractions of 615/64, 656/772
1. What is the HCF of 615,656?
The HCF of 615,656 is 41
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 615/64, 656/772?
Answer: GCF of Numerators as per given numbers 615/64, 656/772 is
GCF of Numerators i.e. for 615,656 is 41
LCM of denominators i.e. for 64,772 is 12352.
Thus, GCF of Fractions is 41/12352.Finally, GCF of Fractions for 615/64, 656/772 is 41/12352.