Greatest Common Factor of 508/374, 1318/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 508/374, 1318/374

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 508/374,1318/374

Given fractions are 508/374,1318/374

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 508,1318

Greatest Common Factor of Numerators i.e. GCF of 508,1318 is 2 .

LCM of Denominators means LCM of 374,374 as per the given fractions.

LCM of 374,374 is 374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 508,1318

GCF of Fractions 508/374,1318/374 is 2/374

2 508, 1318
254, 659

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

Greatest Common Factor of 508,1318 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,1318 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 1318

List of positive integer factors of 1318 that divides 1318 without a remainder.

1,2,659,1318

Greatest Common Factor

We found the factors 508,1318 . The biggest common factor number is the GCF number.
So the greatest common factor 508,1318 is 2.

Lets's calculate LCM of 374,374

2 374, 374
11 187, 187
17 17, 17
1, 1

∴ So the LCM of the given numbers is 2 x 11 x 17 x 1 x 1 = 374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/374

Therefore, the GCF of Fractions 508/374,1318/374 is 2/374

Least Common Multiple of 374,374 with GCF Formula

Least Common Multiple of 374,374 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 374,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,374) = 374

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

GCF(374,374) x common factors =374 x 1 = 374

LCM(374,374) = ( 374 × 374 ) / 374

LCM(374,374) = 139876 / 374

LCM(374,374) = 374


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 508/374, 1318/374

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 508/374, 1318/374?

Answer: GCF of Numerators as per given numbers 508/374, 1318/374 is

GCF of Numerators i.e. for 508,1318 is 2

LCM of denominators i.e. for 374,374 is 374.

Thus, GCF of Fractions is 2/374.Finally, GCF of Fractions for 508/374, 1318/374 is 2/374.