Greatest Common Factor of 3516/92, 7420/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3516/92, 7420/203

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 3516/92,7420/203

Given fractions are 3516/92,7420/203

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 3516,7420

Greatest Common Factor of Numerators i.e. GCF of 3516,7420 is 4 .

LCM of Denominators means LCM of 92,203 as per the given fractions.

LCM of 92,203 is 18676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3516,7420

GCF of Fractions 3516/92,7420/203 is 4/18676

2 3516, 7420
2 1758, 3710
879, 1855

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3516,7420 By Matching Biggest Common Factor Method

Greatest Common Factor of 3516,7420 By Matching Biggest Common Factor Method

Factors of 3516

List of positive integer factors of 3516 that divides 3516 without a remainder.

1,2,3,4,6,12,293,586,879,1172,1758,3516

Factors of 7420

List of positive integer factors of 7420 that divides 7420 without a remainder.

1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420

Greatest Common Factor

We found the factors 3516,7420 . The biggest common factor number is the GCF number.
So the greatest common factor 3516,7420 is 4.

Lets's calculate LCM of 92,203

Given numbers has no common factors except 1. So, there LCM is their product i.e 18676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/18676

Therefore, the GCF of Fractions 3516/92,7420/203 is 4/18676

Least Common Multiple of 92,203 with GCF Formula

Least Common Multiple of 92,203 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 92,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,203) = 1

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

GCF(92,203) x common factors =1 x 1 = 1

LCM(92,203) = ( 92 × 203 ) / 1

LCM(92,203) = 18676 / 1

LCM(92,203) = 18676


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 3516/92, 7420/203

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 3516/92, 7420/203?

Answer: GCF of Numerators as per given numbers 3516/92, 7420/203 is

GCF of Numerators i.e. for 3516,7420 is 4

LCM of denominators i.e. for 92,203 is 18676.

Thus, GCF of Fractions is 4/18676.Finally, GCF of Fractions for 3516/92, 7420/203 is 4/18676.