Greatest Common Factor of 6008/116, 2768/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6008/116, 2768/532

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 6008/116,2768/532

Given fractions are 6008/116,2768/532

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 6008,2768

Greatest Common Factor of Numerators i.e. GCF of 6008,2768 is 8 .

LCM of Denominators means LCM of 116,532 as per the given fractions.

LCM of 116,532 is 15428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6008,2768

GCF of Fractions 6008/116,2768/532 is 8/15428

2 6008, 2768
2 3004, 1384
2 1502, 692
751, 346

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

Greatest Common Factor of 6008,2768 By Matching Biggest Common Factor Method

Greatest Common Factor of 6008,2768 By Matching Biggest Common Factor Method

Factors of 6008

List of positive integer factors of 6008 that divides 6008 without a remainder.

1,2,4,8,751,1502,3004,6008

Factors of 2768

List of positive integer factors of 2768 that divides 2768 without a remainder.

1,2,4,8,16,173,346,692,1384,2768

Greatest Common Factor

We found the factors 6008,2768 . The biggest common factor number is the GCF number.
So the greatest common factor 6008,2768 is 8.

Lets's calculate LCM of 116,532

2 116, 532
2 58, 266
29, 133

∴ So the LCM of the given numbers is 2 x 2 x 29 x 133 = 15428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/15428

Therefore, the GCF of Fractions 6008/116,2768/532 is 8/15428

Least Common Multiple of 116,532 with GCF Formula

Least Common Multiple of 116,532 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 116,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,532) = 4

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

GCF(116,532) x common factors =4 x 1 = 4

LCM(116,532) = ( 116 × 532 ) / 4

LCM(116,532) = 61712 / 4

LCM(116,532) = 15428


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 6008/116, 2768/532

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 6008/116, 2768/532?

Answer: GCF of Numerators as per given numbers 6008/116, 2768/532 is

GCF of Numerators i.e. for 6008,2768 is 8

LCM of denominators i.e. for 116,532 is 15428.

Thus, GCF of Fractions is 8/15428.Finally, GCF of Fractions for 6008/116, 2768/532 is 8/15428.