Greatest Common Factor of 8114/123, 6687/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8114/123, 6687/709

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 8114/123,6687/709

Given fractions are 8114/123,6687/709

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 8114,6687

Greatest Common Factor of Numerators i.e. GCF of 8114,6687 is 1 .

LCM of Denominators means LCM of 123,709 as per the given fractions.

LCM of 123,709 is 87207 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8114,6687

GCF of Fractions 8114/123,6687/709 is 1/87207

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

Greatest Common Factor of 8114,6687 By Matching Biggest Common Factor Method

Greatest Common Factor of 8114,6687 By Matching Biggest Common Factor Method

Factors of 8114

List of positive integer factors of 8114 that divides 8114 without a remainder.

1,2,4057,8114

Factors of 6687

List of positive integer factors of 6687 that divides 6687 without a remainder.

1,3,9,743,2229,6687

Greatest Common Factor

We found the factors 8114,6687 . The biggest common factor number is the GCF number.
So the greatest common factor 8114,6687 is 1.

Lets's calculate LCM of 123,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 87207

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87207

Therefore, the GCF of Fractions 8114/123,6687/709 is 1/87207

Least Common Multiple of 123,709 with GCF Formula

Least Common Multiple of 123,709 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 123,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,709) = 1

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

GCF(123,709) x common factors =1 x 1 = 1

LCM(123,709) = ( 123 × 709 ) / 1

LCM(123,709) = 87207 / 1

LCM(123,709) = 87207


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 8114/123, 6687/709

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 8114/123, 6687/709?

Answer: GCF of Numerators as per given numbers 8114/123, 6687/709 is

GCF of Numerators i.e. for 8114,6687 is 1

LCM of denominators i.e. for 123,709 is 87207.

Thus, GCF of Fractions is 1/87207.Finally, GCF of Fractions for 8114/123, 6687/709 is 1/87207.