Greatest Common Factor of 4782/956, 8175/4578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4782/956, 8175/4578

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 4782/956,8175/4578

Given fractions are 4782/956,8175/4578

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 4782,8175

Greatest Common Factor of Numerators i.e. GCF of 4782,8175 is 3 .

LCM of Denominators means LCM of 956,4578 as per the given fractions.

LCM of 956,4578 is 2188284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4782,8175

GCF of Fractions 4782/956,8175/4578 is 3/2188284

3 4782, 8175
1594, 2725

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4782,8175 By Matching Biggest Common Factor Method

Greatest Common Factor of 4782,8175 By Matching Biggest Common Factor Method

Factors of 4782

List of positive integer factors of 4782 that divides 4782 without a remainder.

1,2,3,6,797,1594,2391,4782

Factors of 8175

List of positive integer factors of 8175 that divides 8175 without a remainder.

1,3,5,15,25,75,109,327,545,1635,2725,8175

Greatest Common Factor

We found the factors 4782,8175 . The biggest common factor number is the GCF number.
So the greatest common factor 4782,8175 is 3.

Lets's calculate LCM of 956,4578

2 956, 4578
478, 2289

∴ So the LCM of the given numbers is 2 x 478 x 2289 = 2188284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2188284

Therefore, the GCF of Fractions 4782/956,8175/4578 is 3/2188284

Least Common Multiple of 956,4578 with GCF Formula

Least Common Multiple of 956,4578 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 956,4578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,4578) = 2

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

GCF(956,4578) x common factors =2 x 1 = 2

LCM(956,4578) = ( 956 × 4578 ) / 2

LCM(956,4578) = 4376568 / 2

LCM(956,4578) = 2188284


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 4782/956, 8175/4578

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 4782/956, 8175/4578?

Answer: GCF of Numerators as per given numbers 4782/956, 8175/4578 is

GCF of Numerators i.e. for 4782,8175 is 3

LCM of denominators i.e. for 956,4578 is 2188284.

Thus, GCF of Fractions is 3/2188284.Finally, GCF of Fractions for 4782/956, 8175/4578 is 3/2188284.