Greatest Common Factor of 5559/902, 3078/7552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5559/902, 3078/7552

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 5559/902,3078/7552

Given fractions are 5559/902,3078/7552

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 5559,3078

Greatest Common Factor of Numerators i.e. GCF of 5559,3078 is 3 .

LCM of Denominators means LCM of 902,7552 as per the given fractions.

LCM of 902,7552 is 3405952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5559,3078

GCF of Fractions 5559/902,3078/7552 is 3/3405952

3 5559, 3078
1853, 1026

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

Greatest Common Factor of 5559,3078 By Matching Biggest Common Factor Method

Greatest Common Factor of 5559,3078 By Matching Biggest Common Factor Method

Factors of 5559

List of positive integer factors of 5559 that divides 5559 without a remainder.

1,3,17,51,109,327,1853,5559

Factors of 3078

List of positive integer factors of 3078 that divides 3078 without a remainder.

1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,342,513,1026,1539,3078

Greatest Common Factor

We found the factors 5559,3078 . The biggest common factor number is the GCF number.
So the greatest common factor 5559,3078 is 3.

Lets's calculate LCM of 902,7552

2 902, 7552
451, 3776

∴ So the LCM of the given numbers is 2 x 451 x 3776 = 3405952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3405952

Therefore, the GCF of Fractions 5559/902,3078/7552 is 3/3405952

Least Common Multiple of 902,7552 with GCF Formula

Least Common Multiple of 902,7552 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 902,7552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,7552) = 2

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

GCF(902,7552) x common factors =2 x 1 = 2

LCM(902,7552) = ( 902 × 7552 ) / 2

LCM(902,7552) = 6811904 / 2

LCM(902,7552) = 3405952


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 5559/902, 3078/7552

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 5559/902, 3078/7552?

Answer: GCF of Numerators as per given numbers 5559/902, 3078/7552 is

GCF of Numerators i.e. for 5559,3078 is 3

LCM of denominators i.e. for 902,7552 is 3405952.

Thus, GCF of Fractions is 3/3405952.Finally, GCF of Fractions for 5559/902, 3078/7552 is 3/3405952.