Greatest Common Factor of 8564/652, 5307/4316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8564/652, 5307/4316

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 8564/652,5307/4316

Given fractions are 8564/652,5307/4316

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 8564,5307

Greatest Common Factor of Numerators i.e. GCF of 8564,5307 is 1 .

LCM of Denominators means LCM of 652,4316 as per the given fractions.

LCM of 652,4316 is 703508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8564,5307

GCF of Fractions 8564/652,5307/4316 is 1/703508

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8564,5307 By Matching Biggest Common Factor Method

Greatest Common Factor of 8564,5307 By Matching Biggest Common Factor Method

Factors of 8564

List of positive integer factors of 8564 that divides 8564 without a remainder.

1,2,4,2141,4282,8564

Factors of 5307

List of positive integer factors of 5307 that divides 5307 without a remainder.

1,3,29,61,87,183,1769,5307

Greatest Common Factor

We found the factors 8564,5307 . The biggest common factor number is the GCF number.
So the greatest common factor 8564,5307 is 1.

Lets's calculate LCM of 652,4316

2 652, 4316
2 326, 2158
163, 1079

∴ So the LCM of the given numbers is 2 x 2 x 163 x 1079 = 703508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/703508

Therefore, the GCF of Fractions 8564/652,5307/4316 is 1/703508

Least Common Multiple of 652,4316 with GCF Formula

Least Common Multiple of 652,4316 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 652,4316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,4316) = 4

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

GCF(652,4316) x common factors =4 x 1 = 4

LCM(652,4316) = ( 652 × 4316 ) / 4

LCM(652,4316) = 2814032 / 4

LCM(652,4316) = 703508


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8564/652, 5307/4316

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 8564/652, 5307/4316?

Answer: GCF of Numerators as per given numbers 8564/652, 5307/4316 is

GCF of Numerators i.e. for 8564,5307 is 1

LCM of denominators i.e. for 652,4316 is 703508.

Thus, GCF of Fractions is 1/703508.Finally, GCF of Fractions for 8564/652, 5307/4316 is 1/703508.