Greatest Common Factor of 5511/858, 5613/7946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5511/858, 5613/7946

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 5511/858,5613/7946

Given fractions are 5511/858,5613/7946

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 5511,5613

Greatest Common Factor of Numerators i.e. GCF of 5511,5613 is 3 .

LCM of Denominators means LCM of 858,7946 as per the given fractions.

LCM of 858,7946 is 3408834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5511,5613

GCF of Fractions 5511/858,5613/7946 is 3/3408834

3 5511, 5613
1837, 1871

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

Greatest Common Factor of 5511,5613 By Matching Biggest Common Factor Method

Greatest Common Factor of 5511,5613 By Matching Biggest Common Factor Method

Factors of 5511

List of positive integer factors of 5511 that divides 5511 without a remainder.

1,3,11,33,167,501,1837,5511

Factors of 5613

List of positive integer factors of 5613 that divides 5613 without a remainder.

1,3,1871,5613

Greatest Common Factor

We found the factors 5511,5613 . The biggest common factor number is the GCF number.
So the greatest common factor 5511,5613 is 3.

Lets's calculate LCM of 858,7946

2 858, 7946
429, 3973

∴ So the LCM of the given numbers is 2 x 429 x 3973 = 3408834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3408834

Therefore, the GCF of Fractions 5511/858,5613/7946 is 3/3408834

Least Common Multiple of 858,7946 with GCF Formula

Least Common Multiple of 858,7946 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 858,7946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,7946) = 2

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

GCF(858,7946) x common factors =2 x 1 = 2

LCM(858,7946) = ( 858 × 7946 ) / 2

LCM(858,7946) = 6817668 / 2

LCM(858,7946) = 3408834


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 5511/858, 5613/7946

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 5511/858, 5613/7946?

Answer: GCF of Numerators as per given numbers 5511/858, 5613/7946 is

GCF of Numerators i.e. for 5511,5613 is 3

LCM of denominators i.e. for 858,7946 is 3408834.

Thus, GCF of Fractions is 3/3408834.Finally, GCF of Fractions for 5511/858, 5613/7946 is 3/3408834.