Greatest Common Factor of 6077/823, 2144/6938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6077/823, 2144/6938

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 6077/823,2144/6938

Given fractions are 6077/823,2144/6938

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 6077,2144

Greatest Common Factor of Numerators i.e. GCF of 6077,2144 is 1 .

LCM of Denominators means LCM of 823,6938 as per the given fractions.

LCM of 823,6938 is 5709974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6077,2144

GCF of Fractions 6077/823,2144/6938 is 1/5709974

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

Greatest Common Factor of 6077,2144 By Matching Biggest Common Factor Method

Greatest Common Factor of 6077,2144 By Matching Biggest Common Factor Method

Factors of 6077

List of positive integer factors of 6077 that divides 6077 without a remainder.

1,59,103,6077

Factors of 2144

List of positive integer factors of 2144 that divides 2144 without a remainder.

1,2,4,8,16,32,67,134,268,536,1072,2144

Greatest Common Factor

We found the factors 6077,2144 . The biggest common factor number is the GCF number.
So the greatest common factor 6077,2144 is 1.

Lets's calculate LCM of 823,6938

Given numbers has no common factors except 1. So, there LCM is their product i.e 5709974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5709974

Therefore, the GCF of Fractions 6077/823,2144/6938 is 1/5709974

Least Common Multiple of 823,6938 with GCF Formula

Least Common Multiple of 823,6938 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 823,6938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,6938) = 1

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

GCF(823,6938) x common factors =1 x 1 = 1

LCM(823,6938) = ( 823 × 6938 ) / 1

LCM(823,6938) = 5709974 / 1

LCM(823,6938) = 5709974


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 6077/823, 2144/6938

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 6077/823, 2144/6938?

Answer: GCF of Numerators as per given numbers 6077/823, 2144/6938 is

GCF of Numerators i.e. for 6077,2144 is 1

LCM of denominators i.e. for 823,6938 is 5709974.

Thus, GCF of Fractions is 1/5709974.Finally, GCF of Fractions for 6077/823, 2144/6938 is 1/5709974.