Greatest Common Factor of 2118/525, 3424/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2118/525, 3424/379

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 2118/525,3424/379

Given fractions are 2118/525,3424/379

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 2118,3424

Greatest Common Factor of Numerators i.e. GCF of 2118,3424 is 2 .

LCM of Denominators means LCM of 525,379 as per the given fractions.

LCM of 525,379 is 198975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2118,3424

GCF of Fractions 2118/525,3424/379 is 2/198975

2 2118, 3424
1059, 1712

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

Greatest Common Factor of 2118,3424 By Matching Biggest Common Factor Method

Greatest Common Factor of 2118,3424 By Matching Biggest Common Factor Method

Factors of 2118

List of positive integer factors of 2118 that divides 2118 without a remainder.

1,2,3,6,353,706,1059,2118

Factors of 3424

List of positive integer factors of 3424 that divides 3424 without a remainder.

1,2,4,8,16,32,107,214,428,856,1712,3424

Greatest Common Factor

We found the factors 2118,3424 . The biggest common factor number is the GCF number.
So the greatest common factor 2118,3424 is 2.

Lets's calculate LCM of 525,379

Given numbers has no common factors except 1. So, there LCM is their product i.e 198975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/198975

Therefore, the GCF of Fractions 2118/525,3424/379 is 2/198975

Least Common Multiple of 525,379 with GCF Formula

Least Common Multiple of 525,379 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 525,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,379) = 1

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

GCF(525,379) x common factors =1 x 1 = 1

LCM(525,379) = ( 525 × 379 ) / 1

LCM(525,379) = 198975 / 1

LCM(525,379) = 198975


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 2118/525, 3424/379

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 2118/525, 3424/379?

Answer: GCF of Numerators as per given numbers 2118/525, 3424/379 is

GCF of Numerators i.e. for 2118,3424 is 2

LCM of denominators i.e. for 525,379 is 198975.

Thus, GCF of Fractions is 2/198975.Finally, GCF of Fractions for 2118/525, 3424/379 is 2/198975.