Greatest Common Factor of 1935/96, 6475/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1935/96, 6475/468

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 1935/96,6475/468

Given fractions are 1935/96,6475/468

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 1935,6475

Greatest Common Factor of Numerators i.e. GCF of 1935,6475 is 5 .

LCM of Denominators means LCM of 96,468 as per the given fractions.

LCM of 96,468 is 3744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1935,6475

GCF of Fractions 1935/96,6475/468 is 5/3744

5 1935, 6475
387, 1295

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1935,6475 By Matching Biggest Common Factor Method

Greatest Common Factor of 1935,6475 By Matching Biggest Common Factor Method

Factors of 1935

List of positive integer factors of 1935 that divides 1935 without a remainder.

1,3,5,9,15,43,45,129,215,387,645,1935

Factors of 6475

List of positive integer factors of 6475 that divides 6475 without a remainder.

1,5,7,25,35,37,175,185,259,925,1295,6475

Greatest Common Factor

We found the factors 1935,6475 . The biggest common factor number is the GCF number.
So the greatest common factor 1935,6475 is 5.

Lets's calculate LCM of 96,468

2 96, 468
2 48, 234
3 24, 117
8, 39

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 39 = 3744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3744

Therefore, the GCF of Fractions 1935/96,6475/468 is 5/3744

Least Common Multiple of 96,468 with GCF Formula

Least Common Multiple of 96,468 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 96,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,468) = 12

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

GCF(96,468) x common factors =12 x 1 = 12

LCM(96,468) = ( 96 × 468 ) / 12

LCM(96,468) = 44928 / 12

LCM(96,468) = 3744


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 1935/96, 6475/468

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 1935/96, 6475/468?

Answer: GCF of Numerators as per given numbers 1935/96, 6475/468 is

GCF of Numerators i.e. for 1935,6475 is 5

LCM of denominators i.e. for 96,468 is 3744.

Thus, GCF of Fractions is 5/3744.Finally, GCF of Fractions for 1935/96, 6475/468 is 5/3744.