Greatest Common Factor of 310/69, 1877/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 310/69, 1877/727

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 310/69,1877/727

Given fractions are 310/69,1877/727

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 310,1877

Greatest Common Factor of Numerators i.e. GCF of 310,1877 is 1 .

LCM of Denominators means LCM of 69,727 as per the given fractions.

LCM of 69,727 is 50163 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 310,1877

GCF of Fractions 310/69,1877/727 is 1/50163

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

Greatest Common Factor of 310,1877 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,1877 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 1877

List of positive integer factors of 1877 that divides 1877 without a remainder.

1,1877

Greatest Common Factor

We found the factors 310,1877 . The biggest common factor number is the GCF number.
So the greatest common factor 310,1877 is 1.

Lets's calculate LCM of 69,727

Given numbers has no common factors except 1. So, there LCM is their product i.e 50163

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50163

Therefore, the GCF of Fractions 310/69,1877/727 is 1/50163

Least Common Multiple of 69,727 with GCF Formula

Least Common Multiple of 69,727 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 69,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,727) = 1

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

GCF(69,727) x common factors =1 x 1 = 1

LCM(69,727) = ( 69 × 727 ) / 1

LCM(69,727) = 50163 / 1

LCM(69,727) = 50163


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 310/69, 1877/727

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 310/69, 1877/727?

Answer: GCF of Numerators as per given numbers 310/69, 1877/727 is

GCF of Numerators i.e. for 310,1877 is 1

LCM of denominators i.e. for 69,727 is 50163.

Thus, GCF of Fractions is 1/50163.Finally, GCF of Fractions for 310/69, 1877/727 is 1/50163.