Greatest Common Factor of 6937/849, 8064/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6937/849, 8064/287

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 6937/849,8064/287

Given fractions are 6937/849,8064/287

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 6937,8064

Greatest Common Factor of Numerators i.e. GCF of 6937,8064 is 7 .

LCM of Denominators means LCM of 849,287 as per the given fractions.

LCM of 849,287 is 243663 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6937,8064

GCF of Fractions 6937/849,8064/287 is 7/243663

7 6937, 8064
991, 1152

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6937,8064 By Matching Biggest Common Factor Method

Greatest Common Factor of 6937,8064 By Matching Biggest Common Factor Method

Factors of 6937

List of positive integer factors of 6937 that divides 6937 without a remainder.

1,7,991,6937

Factors of 8064

List of positive integer factors of 8064 that divides 8064 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064

Greatest Common Factor

We found the factors 6937,8064 . The biggest common factor number is the GCF number.
So the greatest common factor 6937,8064 is 7.

Lets's calculate LCM of 849,287

Given numbers has no common factors except 1. So, there LCM is their product i.e 243663

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/243663

Therefore, the GCF of Fractions 6937/849,8064/287 is 7/243663

Least Common Multiple of 849,287 with GCF Formula

Least Common Multiple of 849,287 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 849,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,287) = 1

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

GCF(849,287) x common factors =1 x 1 = 1

LCM(849,287) = ( 849 × 287 ) / 1

LCM(849,287) = 243663 / 1

LCM(849,287) = 243663


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 6937/849, 8064/287

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 6937/849, 8064/287?

Answer: GCF of Numerators as per given numbers 6937/849, 8064/287 is

GCF of Numerators i.e. for 6937,8064 is 7

LCM of denominators i.e. for 849,287 is 243663.

Thus, GCF of Fractions is 7/243663.Finally, GCF of Fractions for 6937/849, 8064/287 is 7/243663.