Greatest Common Factor of 5944/977, 1640/6911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5944/977, 1640/6911

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 5944/977,1640/6911

Given fractions are 5944/977,1640/6911

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 5944,1640

Greatest Common Factor of Numerators i.e. GCF of 5944,1640 is 8 .

LCM of Denominators means LCM of 977,6911 as per the given fractions.

LCM of 977,6911 is 6752047 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5944,1640

GCF of Fractions 5944/977,1640/6911 is 8/6752047

2 5944, 1640
2 2972, 820
2 1486, 410
743, 205

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5944,1640 By Matching Biggest Common Factor Method

Greatest Common Factor of 5944,1640 By Matching Biggest Common Factor Method

Factors of 5944

List of positive integer factors of 5944 that divides 5944 without a remainder.

1,2,4,8,743,1486,2972,5944

Factors of 1640

List of positive integer factors of 1640 that divides 1640 without a remainder.

1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640

Greatest Common Factor

We found the factors 5944,1640 . The biggest common factor number is the GCF number.
So the greatest common factor 5944,1640 is 8.

Lets's calculate LCM of 977,6911

Given numbers has no common factors except 1. So, there LCM is their product i.e 6752047

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6752047

Therefore, the GCF of Fractions 5944/977,1640/6911 is 8/6752047

Least Common Multiple of 977,6911 with GCF Formula

Least Common Multiple of 977,6911 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 977,6911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,6911) = 1

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

GCF(977,6911) x common factors =1 x 1 = 1

LCM(977,6911) = ( 977 × 6911 ) / 1

LCM(977,6911) = 6752047 / 1

LCM(977,6911) = 6752047


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 5944/977, 1640/6911

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 5944/977, 1640/6911?

Answer: GCF of Numerators as per given numbers 5944/977, 1640/6911 is

GCF of Numerators i.e. for 5944,1640 is 8

LCM of denominators i.e. for 977,6911 is 6752047.

Thus, GCF of Fractions is 8/6752047.Finally, GCF of Fractions for 5944/977, 1640/6911 is 8/6752047.