Greatest Common Factor of 2342/644, 8288/7768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2342/644, 8288/7768

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 2342/644,8288/7768

Given fractions are 2342/644,8288/7768

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 2342,8288

Greatest Common Factor of Numerators i.e. GCF of 2342,8288 is 2 .

LCM of Denominators means LCM of 644,7768 as per the given fractions.

LCM of 644,7768 is 1250648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2342,8288

GCF of Fractions 2342/644,8288/7768 is 2/1250648

2 2342, 8288
1171, 4144

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

Greatest Common Factor of 2342,8288 By Matching Biggest Common Factor Method

Greatest Common Factor of 2342,8288 By Matching Biggest Common Factor Method

Factors of 2342

List of positive integer factors of 2342 that divides 2342 without a remainder.

1,2,1171,2342

Factors of 8288

List of positive integer factors of 8288 that divides 8288 without a remainder.

1,2,4,7,8,14,16,28,32,37,56,74,112,148,224,259,296,518,592,1036,1184,2072,4144,8288

Greatest Common Factor

We found the factors 2342,8288 . The biggest common factor number is the GCF number.
So the greatest common factor 2342,8288 is 2.

Lets's calculate LCM of 644,7768

2 644, 7768
2 322, 3884
161, 1942

∴ So the LCM of the given numbers is 2 x 2 x 161 x 1942 = 1250648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1250648

Therefore, the GCF of Fractions 2342/644,8288/7768 is 2/1250648

Least Common Multiple of 644,7768 with GCF Formula

Least Common Multiple of 644,7768 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 644,7768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,7768) = 4

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

GCF(644,7768) x common factors =4 x 1 = 4

LCM(644,7768) = ( 644 × 7768 ) / 4

LCM(644,7768) = 5002592 / 4

LCM(644,7768) = 1250648


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 2342/644, 8288/7768

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 2342/644, 8288/7768?

Answer: GCF of Numerators as per given numbers 2342/644, 8288/7768 is

GCF of Numerators i.e. for 2342,8288 is 2

LCM of denominators i.e. for 644,7768 is 1250648.

Thus, GCF of Fractions is 2/1250648.Finally, GCF of Fractions for 2342/644, 8288/7768 is 2/1250648.