Greatest Common Factor of 5552/163, 2956/6072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5552/163, 2956/6072

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 5552/163,2956/6072

Given fractions are 5552/163,2956/6072

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 5552,2956

Greatest Common Factor of Numerators i.e. GCF of 5552,2956 is 4 .

LCM of Denominators means LCM of 163,6072 as per the given fractions.

LCM of 163,6072 is 989736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5552,2956

GCF of Fractions 5552/163,2956/6072 is 4/989736

2 5552, 2956
2 2776, 1478
1388, 739

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5552,2956 By Matching Biggest Common Factor Method

Greatest Common Factor of 5552,2956 By Matching Biggest Common Factor Method

Factors of 5552

List of positive integer factors of 5552 that divides 5552 without a remainder.

1,2,4,8,16,347,694,1388,2776,5552

Factors of 2956

List of positive integer factors of 2956 that divides 2956 without a remainder.

1,2,4,739,1478,2956

Greatest Common Factor

We found the factors 5552,2956 . The biggest common factor number is the GCF number.
So the greatest common factor 5552,2956 is 4.

Lets's calculate LCM of 163,6072

Given numbers has no common factors except 1. So, there LCM is their product i.e 989736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/989736

Therefore, the GCF of Fractions 5552/163,2956/6072 is 4/989736

Least Common Multiple of 163,6072 with GCF Formula

Least Common Multiple of 163,6072 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 163,6072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,6072) = 1

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

GCF(163,6072) x common factors =1 x 1 = 1

LCM(163,6072) = ( 163 × 6072 ) / 1

LCM(163,6072) = 989736 / 1

LCM(163,6072) = 989736


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 5552/163, 2956/6072

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 5552/163, 2956/6072?

Answer: GCF of Numerators as per given numbers 5552/163, 2956/6072 is

GCF of Numerators i.e. for 5552,2956 is 4

LCM of denominators i.e. for 163,6072 is 989736.

Thus, GCF of Fractions is 4/989736.Finally, GCF of Fractions for 5552/163, 2956/6072 is 4/989736.