Greatest Common Factor of 3725/376, 2078/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3725/376, 2078/740

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 3725/376,2078/740

Given fractions are 3725/376,2078/740

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 3725,2078

Greatest Common Factor of Numerators i.e. GCF of 3725,2078 is 1 .

LCM of Denominators means LCM of 376,740 as per the given fractions.

LCM of 376,740 is 69560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3725,2078

GCF of Fractions 3725/376,2078/740 is 1/69560

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3725,2078 By Matching Biggest Common Factor Method

Greatest Common Factor of 3725,2078 By Matching Biggest Common Factor Method

Factors of 3725

List of positive integer factors of 3725 that divides 3725 without a remainder.

1,5,25,149,745,3725

Factors of 2078

List of positive integer factors of 2078 that divides 2078 without a remainder.

1,2,1039,2078

Greatest Common Factor

We found the factors 3725,2078 . The biggest common factor number is the GCF number.
So the greatest common factor 3725,2078 is 1.

Lets's calculate LCM of 376,740

2 376, 740
2 188, 370
94, 185

∴ So the LCM of the given numbers is 2 x 2 x 94 x 185 = 69560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69560

Therefore, the GCF of Fractions 3725/376,2078/740 is 1/69560

Least Common Multiple of 376,740 with GCF Formula

Least Common Multiple of 376,740 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 376,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,740) = 4

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

GCF(376,740) x common factors =4 x 1 = 4

LCM(376,740) = ( 376 × 740 ) / 4

LCM(376,740) = 278240 / 4

LCM(376,740) = 69560


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 3725/376, 2078/740

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 3725/376, 2078/740?

Answer: GCF of Numerators as per given numbers 3725/376, 2078/740 is

GCF of Numerators i.e. for 3725,2078 is 1

LCM of denominators i.e. for 376,740 is 69560.

Thus, GCF of Fractions is 1/69560.Finally, GCF of Fractions for 3725/376, 2078/740 is 1/69560.