Greatest Common Factor of 5963/375, 4636/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5963/375, 4636/954

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 5963/375,4636/954

Given fractions are 5963/375,4636/954

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 5963,4636

Greatest Common Factor of Numerators i.e. GCF of 5963,4636 is 1 .

LCM of Denominators means LCM of 375,954 as per the given fractions.

LCM of 375,954 is 119250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5963,4636

GCF of Fractions 5963/375,4636/954 is 1/119250

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5963,4636 By Matching Biggest Common Factor Method

Greatest Common Factor of 5963,4636 By Matching Biggest Common Factor Method

Factors of 5963

List of positive integer factors of 5963 that divides 5963 without a remainder.

1,67,89,5963

Factors of 4636

List of positive integer factors of 4636 that divides 4636 without a remainder.

1,2,4,19,38,61,76,122,244,1159,2318,4636

Greatest Common Factor

We found the factors 5963,4636 . The biggest common factor number is the GCF number.
So the greatest common factor 5963,4636 is 1.

Lets's calculate LCM of 375,954

3 375, 954
125, 318

∴ So the LCM of the given numbers is 3 x 125 x 318 = 119250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119250

Therefore, the GCF of Fractions 5963/375,4636/954 is 1/119250

Least Common Multiple of 375,954 with GCF Formula

Least Common Multiple of 375,954 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 375,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,954) = 3

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

GCF(375,954) x common factors =3 x 1 = 3

LCM(375,954) = ( 375 × 954 ) / 3

LCM(375,954) = 357750 / 3

LCM(375,954) = 119250


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 5963/375, 4636/954

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 5963/375, 4636/954?

Answer: GCF of Numerators as per given numbers 5963/375, 4636/954 is

GCF of Numerators i.e. for 5963,4636 is 1

LCM of denominators i.e. for 375,954 is 119250.

Thus, GCF of Fractions is 1/119250.Finally, GCF of Fractions for 5963/375, 4636/954 is 1/119250.