Greatest Common Factor of 195/296, 2475/3518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 195/296, 2475/3518

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 195/296,2475/3518

Given fractions are 195/296,2475/3518

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 195,2475

Greatest Common Factor of Numerators i.e. GCF of 195,2475 is 15 .

LCM of Denominators means LCM of 296,3518 as per the given fractions.

LCM of 296,3518 is 520664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 195,2475

GCF of Fractions 195/296,2475/3518 is 15/520664

3 195, 2475
5 65, 825
13, 165

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 195,2475 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,2475 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 2475

List of positive integer factors of 2475 that divides 2475 without a remainder.

1,3,5,9,11,15,25,33,45,55,75,99,165,225,275,495,825,2475

Greatest Common Factor

We found the factors 195,2475 . The biggest common factor number is the GCF number.
So the greatest common factor 195,2475 is 15.

Lets's calculate LCM of 296,3518

2 296, 3518
148, 1759

∴ So the LCM of the given numbers is 2 x 148 x 1759 = 520664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/520664

Therefore, the GCF of Fractions 195/296,2475/3518 is 15/520664

Least Common Multiple of 296,3518 with GCF Formula

Least Common Multiple of 296,3518 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 296,3518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,3518) = 2

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

GCF(296,3518) x common factors =2 x 1 = 2

LCM(296,3518) = ( 296 × 3518 ) / 2

LCM(296,3518) = 1041328 / 2

LCM(296,3518) = 520664


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 195/296, 2475/3518

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 195/296, 2475/3518?

Answer: GCF of Numerators as per given numbers 195/296, 2475/3518 is

GCF of Numerators i.e. for 195,2475 is 15

LCM of denominators i.e. for 296,3518 is 520664.

Thus, GCF of Fractions is 15/520664.Finally, GCF of Fractions for 195/296, 2475/3518 is 15/520664.