Greatest Common Factor of 5448/477, 1958/7583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5448/477, 1958/7583

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 5448/477,1958/7583

Given fractions are 5448/477,1958/7583

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 5448,1958

Greatest Common Factor of Numerators i.e. GCF of 5448,1958 is 2 .

LCM of Denominators means LCM of 477,7583 as per the given fractions.

LCM of 477,7583 is 3617091 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5448,1958

GCF of Fractions 5448/477,1958/7583 is 2/3617091

2 5448, 1958
2724, 979

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

Greatest Common Factor of 5448,1958 By Matching Biggest Common Factor Method

Greatest Common Factor of 5448,1958 By Matching Biggest Common Factor Method

Factors of 5448

List of positive integer factors of 5448 that divides 5448 without a remainder.

1,2,3,4,6,8,12,24,227,454,681,908,1362,1816,2724,5448

Factors of 1958

List of positive integer factors of 1958 that divides 1958 without a remainder.

1,2,11,22,89,178,979,1958

Greatest Common Factor

We found the factors 5448,1958 . The biggest common factor number is the GCF number.
So the greatest common factor 5448,1958 is 2.

Lets's calculate LCM of 477,7583

Given numbers has no common factors except 1. So, there LCM is their product i.e 3617091

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3617091

Therefore, the GCF of Fractions 5448/477,1958/7583 is 2/3617091

Least Common Multiple of 477,7583 with GCF Formula

Least Common Multiple of 477,7583 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 477,7583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,7583) = 1

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

GCF(477,7583) x common factors =1 x 1 = 1

LCM(477,7583) = ( 477 × 7583 ) / 1

LCM(477,7583) = 3617091 / 1

LCM(477,7583) = 3617091


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 5448/477, 1958/7583

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 5448/477, 1958/7583?

Answer: GCF of Numerators as per given numbers 5448/477, 1958/7583 is

GCF of Numerators i.e. for 5448,1958 is 2

LCM of denominators i.e. for 477,7583 is 3617091.

Thus, GCF of Fractions is 2/3617091.Finally, GCF of Fractions for 5448/477, 1958/7583 is 2/3617091.