Greatest Common Factor of 76/908, 1406/6439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 76/908, 1406/6439

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 76/908,1406/6439

Given fractions are 76/908,1406/6439

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 76,1406

Greatest Common Factor of Numerators i.e. GCF of 76,1406 is 38 .

LCM of Denominators means LCM of 908,6439 as per the given fractions.

LCM of 908,6439 is 5846612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 76,1406

GCF of Fractions 76/908,1406/6439 is 38/5846612

2 76, 1406
19 38, 703
2, 37

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 76,1406 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,1406 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 1406

List of positive integer factors of 1406 that divides 1406 without a remainder.

1,2,19,37,38,74,703,1406

Greatest Common Factor

We found the factors 76,1406 . The biggest common factor number is the GCF number.
So the greatest common factor 76,1406 is 38.

Lets's calculate LCM of 908,6439

Given numbers has no common factors except 1. So, there LCM is their product i.e 5846612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/5846612

Therefore, the GCF of Fractions 76/908,1406/6439 is 38/5846612

Least Common Multiple of 908,6439 with GCF Formula

Least Common Multiple of 908,6439 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 908,6439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,6439) = 1

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

GCF(908,6439) x common factors =1 x 1 = 1

LCM(908,6439) = ( 908 × 6439 ) / 1

LCM(908,6439) = 5846612 / 1

LCM(908,6439) = 5846612


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 76/908, 1406/6439

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 76/908, 1406/6439?

Answer: GCF of Numerators as per given numbers 76/908, 1406/6439 is

GCF of Numerators i.e. for 76,1406 is 38

LCM of denominators i.e. for 908,6439 is 5846612.

Thus, GCF of Fractions is 38/5846612.Finally, GCF of Fractions for 76/908, 1406/6439 is 38/5846612.