Greatest Common Factor of 568/664, 916/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 568/664, 916/352

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 568/664,916/352

Given fractions are 568/664,916/352

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 568,916

Greatest Common Factor of Numerators i.e. GCF of 568,916 is 4 .

LCM of Denominators means LCM of 664,352 as per the given fractions.

LCM of 664,352 is 29216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 568,916

GCF of Fractions 568/664,916/352 is 4/29216

2 568, 916
2 284, 458
142, 229

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 568,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,916 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 568,916 . The biggest common factor number is the GCF number.
So the greatest common factor 568,916 is 4.

Lets's calculate LCM of 664,352

2 664, 352
2 332, 176
2 166, 88
83, 44

∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 44 = 29216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/29216

Therefore, the GCF of Fractions 568/664,916/352 is 4/29216

Least Common Multiple of 664,352 with GCF Formula

Least Common Multiple of 664,352 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 664,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,352) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(664,352) x common factors =8 x 1 = 8

LCM(664,352) = ( 664 × 352 ) / 8

LCM(664,352) = 233728 / 8

LCM(664,352) = 29216


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 568/664, 916/352

1. 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.

2. What is the GCF of Fractions for 568/664, 916/352?

Answer: GCF of Numerators as per given numbers 568/664, 916/352 is

GCF of Numerators i.e. for 568,916 is 4

LCM of denominators i.e. for 664,352 is 29216.

Thus, GCF of Fractions is 4/29216.Finally, GCF of Fractions for 568/664, 916/352 is 4/29216.