Greatest Common Factor of 1346/508, 7562/7876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1346/508, 7562/7876

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 1346/508,7562/7876

Given fractions are 1346/508,7562/7876

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 1346,7562

Greatest Common Factor of Numerators i.e. GCF of 1346,7562 is 2 .

LCM of Denominators means LCM of 508,7876 as per the given fractions.

LCM of 508,7876 is 1000252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1346,7562

GCF of Fractions 1346/508,7562/7876 is 2/1000252

2 1346, 7562
673, 3781

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

Greatest Common Factor of 1346,7562 By Matching Biggest Common Factor Method

Greatest Common Factor of 1346,7562 By Matching Biggest Common Factor Method

Factors of 1346

List of positive integer factors of 1346 that divides 1346 without a remainder.

1,2,673,1346

Factors of 7562

List of positive integer factors of 7562 that divides 7562 without a remainder.

1,2,19,38,199,398,3781,7562

Greatest Common Factor

We found the factors 1346,7562 . The biggest common factor number is the GCF number.
So the greatest common factor 1346,7562 is 2.

Lets's calculate LCM of 508,7876

2 508, 7876
2 254, 3938
127, 1969

∴ So the LCM of the given numbers is 2 x 2 x 127 x 1969 = 1000252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1000252

Therefore, the GCF of Fractions 1346/508,7562/7876 is 2/1000252

Least Common Multiple of 508,7876 with GCF Formula

Least Common Multiple of 508,7876 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 508,7876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,7876) = 4

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

GCF(508,7876) x common factors =4 x 1 = 4

LCM(508,7876) = ( 508 × 7876 ) / 4

LCM(508,7876) = 4001008 / 4

LCM(508,7876) = 1000252


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 1346/508, 7562/7876

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 1346/508, 7562/7876?

Answer: GCF of Numerators as per given numbers 1346/508, 7562/7876 is

GCF of Numerators i.e. for 1346,7562 is 2

LCM of denominators i.e. for 508,7876 is 1000252.

Thus, GCF of Fractions is 2/1000252.Finally, GCF of Fractions for 1346/508, 7562/7876 is 2/1000252.