Greatest Common Factor of 5687/284, 7612/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5687/284, 7612/505

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 5687/284,7612/505

Given fractions are 5687/284,7612/505

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 5687,7612

Greatest Common Factor of Numerators i.e. GCF of 5687,7612 is 11 .

LCM of Denominators means LCM of 284,505 as per the given fractions.

LCM of 284,505 is 143420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5687,7612

GCF of Fractions 5687/284,7612/505 is 11/143420

11 5687, 7612
517, 692

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 5687,7612 By Matching Biggest Common Factor Method

Greatest Common Factor of 5687,7612 By Matching Biggest Common Factor Method

Factors of 5687

List of positive integer factors of 5687 that divides 5687 without a remainder.

1,11,47,121,517,5687

Factors of 7612

List of positive integer factors of 7612 that divides 7612 without a remainder.

1,2,4,11,22,44,173,346,692,1903,3806,7612

Greatest Common Factor

We found the factors 5687,7612 . The biggest common factor number is the GCF number.
So the greatest common factor 5687,7612 is 11.

Lets's calculate LCM of 284,505

Given numbers has no common factors except 1. So, there LCM is their product i.e 143420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/143420

Therefore, the GCF of Fractions 5687/284,7612/505 is 11/143420

Least Common Multiple of 284,505 with GCF Formula

Least Common Multiple of 284,505 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 284,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,505) = 1

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

GCF(284,505) x common factors =1 x 1 = 1

LCM(284,505) = ( 284 × 505 ) / 1

LCM(284,505) = 143420 / 1

LCM(284,505) = 143420


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 5687/284, 7612/505

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 5687/284, 7612/505?

Answer: GCF of Numerators as per given numbers 5687/284, 7612/505 is

GCF of Numerators i.e. for 5687,7612 is 11

LCM of denominators i.e. for 284,505 is 143420.

Thus, GCF of Fractions is 11/143420.Finally, GCF of Fractions for 5687/284, 7612/505 is 11/143420.