Greatest Common Factor of 5442/552, 5830/1956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5442/552, 5830/1956

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 5442/552,5830/1956

Given fractions are 5442/552,5830/1956

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 5442,5830

Greatest Common Factor of Numerators i.e. GCF of 5442,5830 is 2 .

LCM of Denominators means LCM of 552,1956 as per the given fractions.

LCM of 552,1956 is 89976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5442,5830

GCF of Fractions 5442/552,5830/1956 is 2/89976

2 5442, 5830
2721, 2915

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

Greatest Common Factor of 5442,5830 By Matching Biggest Common Factor Method

Greatest Common Factor of 5442,5830 By Matching Biggest Common Factor Method

Factors of 5442

List of positive integer factors of 5442 that divides 5442 without a remainder.

1,2,3,6,907,1814,2721,5442

Factors of 5830

List of positive integer factors of 5830 that divides 5830 without a remainder.

1,2,5,10,11,22,53,55,106,110,265,530,583,1166,2915,5830

Greatest Common Factor

We found the factors 5442,5830 . The biggest common factor number is the GCF number.
So the greatest common factor 5442,5830 is 2.

Lets's calculate LCM of 552,1956

2 552, 1956
2 276, 978
3 138, 489
46, 163

∴ So the LCM of the given numbers is 2 x 2 x 3 x 46 x 163 = 89976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89976

Therefore, the GCF of Fractions 5442/552,5830/1956 is 2/89976

Least Common Multiple of 552,1956 with GCF Formula

Least Common Multiple of 552,1956 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 552,1956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,1956) = 12

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

GCF(552,1956) x common factors =12 x 1 = 12

LCM(552,1956) = ( 552 × 1956 ) / 12

LCM(552,1956) = 1079712 / 12

LCM(552,1956) = 89976


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 5442/552, 5830/1956

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 5442/552, 5830/1956?

Answer: GCF of Numerators as per given numbers 5442/552, 5830/1956 is

GCF of Numerators i.e. for 5442,5830 is 2

LCM of denominators i.e. for 552,1956 is 89976.

Thus, GCF of Fractions is 2/89976.Finally, GCF of Fractions for 5442/552, 5830/1956 is 2/89976.