Greatest Common Factor of 904/202, 3714/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 904/202, 3714/546

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 904/202,3714/546

Given fractions are 904/202,3714/546

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 904,3714

Greatest Common Factor of Numerators i.e. GCF of 904,3714 is 2 .

LCM of Denominators means LCM of 202,546 as per the given fractions.

LCM of 202,546 is 55146 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 904,3714

GCF of Fractions 904/202,3714/546 is 2/55146

2 904, 3714
452, 1857

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

Greatest Common Factor of 904,3714 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,3714 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 3714

List of positive integer factors of 3714 that divides 3714 without a remainder.

1,2,3,6,619,1238,1857,3714

Greatest Common Factor

We found the factors 904,3714 . The biggest common factor number is the GCF number.
So the greatest common factor 904,3714 is 2.

Lets's calculate LCM of 202,546

2 202, 546
101, 273

∴ So the LCM of the given numbers is 2 x 101 x 273 = 55146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55146

Therefore, the GCF of Fractions 904/202,3714/546 is 2/55146

Least Common Multiple of 202,546 with GCF Formula

Least Common Multiple of 202,546 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 202,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,546) = 2

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

GCF(202,546) x common factors =2 x 1 = 2

LCM(202,546) = ( 202 × 546 ) / 2

LCM(202,546) = 110292 / 2

LCM(202,546) = 55146


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 904/202, 3714/546

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 904/202, 3714/546?

Answer: GCF of Numerators as per given numbers 904/202, 3714/546 is

GCF of Numerators i.e. for 904,3714 is 2

LCM of denominators i.e. for 202,546 is 55146.

Thus, GCF of Fractions is 2/55146.Finally, GCF of Fractions for 904/202, 3714/546 is 2/55146.