Greatest Common Factor of 7779/886, 7633/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7779/886, 7633/110

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 7779/886,7633/110

Given fractions are 7779/886,7633/110

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 7779,7633

Greatest Common Factor of Numerators i.e. GCF of 7779,7633 is 1 .

LCM of Denominators means LCM of 886,110 as per the given fractions.

LCM of 886,110 is 48730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7779,7633

GCF of Fractions 7779/886,7633/110 is 1/48730

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7779,7633 By Matching Biggest Common Factor Method

Greatest Common Factor of 7779,7633 By Matching Biggest Common Factor Method

Factors of 7779

List of positive integer factors of 7779 that divides 7779 without a remainder.

1,3,2593,7779

Factors of 7633

List of positive integer factors of 7633 that divides 7633 without a remainder.

1,17,449,7633

Greatest Common Factor

We found the factors 7779,7633 . The biggest common factor number is the GCF number.
So the greatest common factor 7779,7633 is 1.

Lets's calculate LCM of 886,110

2 886, 110
443, 55

∴ So the LCM of the given numbers is 2 x 443 x 55 = 48730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48730

Therefore, the GCF of Fractions 7779/886,7633/110 is 1/48730

Least Common Multiple of 886,110 with GCF Formula

Least Common Multiple of 886,110 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 886,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(886,110) = 2

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

GCF(886,110) x common factors =2 x 1 = 2

LCM(886,110) = ( 886 × 110 ) / 2

LCM(886,110) = 97460 / 2

LCM(886,110) = 48730


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 7779/886, 7633/110

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 7779/886, 7633/110?

Answer: GCF of Numerators as per given numbers 7779/886, 7633/110 is

GCF of Numerators i.e. for 7779,7633 is 1

LCM of denominators i.e. for 886,110 is 48730.

Thus, GCF of Fractions is 1/48730.Finally, GCF of Fractions for 7779/886, 7633/110 is 1/48730.