Greatest Common Factor of 5595/22, 7716/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5595/22, 7716/162

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 5595/22,7716/162

Given fractions are 5595/22,7716/162

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 5595,7716

Greatest Common Factor of Numerators i.e. GCF of 5595,7716 is 3 .

LCM of Denominators means LCM of 22,162 as per the given fractions.

LCM of 22,162 is 1782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5595,7716

GCF of Fractions 5595/22,7716/162 is 3/1782

3 5595, 7716
1865, 2572

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

Greatest Common Factor of 5595,7716 By Matching Biggest Common Factor Method

Greatest Common Factor of 5595,7716 By Matching Biggest Common Factor Method

Factors of 5595

List of positive integer factors of 5595 that divides 5595 without a remainder.

1,3,5,15,373,1119,1865,5595

Factors of 7716

List of positive integer factors of 7716 that divides 7716 without a remainder.

1,2,3,4,6,12,643,1286,1929,2572,3858,7716

Greatest Common Factor

We found the factors 5595,7716 . The biggest common factor number is the GCF number.
So the greatest common factor 5595,7716 is 3.

Lets's calculate LCM of 22,162

2 22, 162
11, 81

∴ So the LCM of the given numbers is 2 x 11 x 81 = 1782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1782

Therefore, the GCF of Fractions 5595/22,7716/162 is 3/1782

Least Common Multiple of 22,162 with GCF Formula

Least Common Multiple of 22,162 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 22,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,162) = 2

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

GCF(22,162) x common factors =2 x 1 = 2

LCM(22,162) = ( 22 × 162 ) / 2

LCM(22,162) = 3564 / 2

LCM(22,162) = 1782


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 5595/22, 7716/162

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 5595/22, 7716/162?

Answer: GCF of Numerators as per given numbers 5595/22, 7716/162 is

GCF of Numerators i.e. for 5595,7716 is 3

LCM of denominators i.e. for 22,162 is 1782.

Thus, GCF of Fractions is 3/1782.Finally, GCF of Fractions for 5595/22, 7716/162 is 3/1782.