Greatest Common Factor of 2618/376, 4058/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2618/376, 4058/725

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 2618/376,4058/725

Given fractions are 2618/376,4058/725

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 2618,4058

Greatest Common Factor of Numerators i.e. GCF of 2618,4058 is 2 .

LCM of Denominators means LCM of 376,725 as per the given fractions.

LCM of 376,725 is 272600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2618,4058

GCF of Fractions 2618/376,4058/725 is 2/272600

2 2618, 4058
1309, 2029

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

Greatest Common Factor of 2618,4058 By Matching Biggest Common Factor Method

Greatest Common Factor of 2618,4058 By Matching Biggest Common Factor Method

Factors of 2618

List of positive integer factors of 2618 that divides 2618 without a remainder.

1,2,7,11,14,17,22,34,77,119,154,187,238,374,1309,2618

Factors of 4058

List of positive integer factors of 4058 that divides 4058 without a remainder.

1,2,2029,4058

Greatest Common Factor

We found the factors 2618,4058 . The biggest common factor number is the GCF number.
So the greatest common factor 2618,4058 is 2.

Lets's calculate LCM of 376,725

Given numbers has no common factors except 1. So, there LCM is their product i.e 272600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/272600

Therefore, the GCF of Fractions 2618/376,4058/725 is 2/272600

Least Common Multiple of 376,725 with GCF Formula

Least Common Multiple of 376,725 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 376,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,725) = 1

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

GCF(376,725) x common factors =1 x 1 = 1

LCM(376,725) = ( 376 × 725 ) / 1

LCM(376,725) = 272600 / 1

LCM(376,725) = 272600


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 2618/376, 4058/725

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 2618/376, 4058/725?

Answer: GCF of Numerators as per given numbers 2618/376, 4058/725 is

GCF of Numerators i.e. for 2618,4058 is 2

LCM of denominators i.e. for 376,725 is 272600.

Thus, GCF of Fractions is 2/272600.Finally, GCF of Fractions for 2618/376, 4058/725 is 2/272600.