Greatest Common Factor of 514/123, 8124/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 514/123, 8124/695

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 514/123,8124/695

Given fractions are 514/123,8124/695

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 514,8124

Greatest Common Factor of Numerators i.e. GCF of 514,8124 is 2 .

LCM of Denominators means LCM of 123,695 as per the given fractions.

LCM of 123,695 is 85485 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 514,8124

GCF of Fractions 514/123,8124/695 is 2/85485

2 514, 8124
257, 4062

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

Greatest Common Factor of 514,8124 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,8124 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1,2,3,4,6,12,677,1354,2031,2708,4062,8124

Greatest Common Factor

We found the factors 514,8124 . The biggest common factor number is the GCF number.
So the greatest common factor 514,8124 is 2.

Lets's calculate LCM of 123,695

Given numbers has no common factors except 1. So, there LCM is their product i.e 85485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85485

Therefore, the GCF of Fractions 514/123,8124/695 is 2/85485

Least Common Multiple of 123,695 with GCF Formula

Least Common Multiple of 123,695 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 123,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,695) = 1

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

GCF(123,695) x common factors =1 x 1 = 1

LCM(123,695) = ( 123 × 695 ) / 1

LCM(123,695) = 85485 / 1

LCM(123,695) = 85485


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 514/123, 8124/695

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 514/123, 8124/695?

Answer: GCF of Numerators as per given numbers 514/123, 8124/695 is

GCF of Numerators i.e. for 514,8124 is 2

LCM of denominators i.e. for 123,695 is 85485.

Thus, GCF of Fractions is 2/85485.Finally, GCF of Fractions for 514/123, 8124/695 is 2/85485.