Greatest Common Factor of 8823/521, 8413/7611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8823/521, 8413/7611

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 8823/521,8413/7611

Given fractions are 8823/521,8413/7611

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 8823,8413

Greatest Common Factor of Numerators i.e. GCF of 8823,8413 is 1 .

LCM of Denominators means LCM of 521,7611 as per the given fractions.

LCM of 521,7611 is 3965331 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8823,8413

GCF of Fractions 8823/521,8413/7611 is 1/3965331

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

Greatest Common Factor of 8823,8413 By Matching Biggest Common Factor Method

Greatest Common Factor of 8823,8413 By Matching Biggest Common Factor Method

Factors of 8823

List of positive integer factors of 8823 that divides 8823 without a remainder.

1,3,17,51,173,519,2941,8823

Factors of 8413

List of positive integer factors of 8413 that divides 8413 without a remainder.

1,47,179,8413

Greatest Common Factor

We found the factors 8823,8413 . The biggest common factor number is the GCF number.
So the greatest common factor 8823,8413 is 1.

Lets's calculate LCM of 521,7611

Given numbers has no common factors except 1. So, there LCM is their product i.e 3965331

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3965331

Therefore, the GCF of Fractions 8823/521,8413/7611 is 1/3965331

Least Common Multiple of 521,7611 with GCF Formula

Least Common Multiple of 521,7611 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 521,7611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,7611) = 1

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

GCF(521,7611) x common factors =1 x 1 = 1

LCM(521,7611) = ( 521 × 7611 ) / 1

LCM(521,7611) = 3965331 / 1

LCM(521,7611) = 3965331


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 8823/521, 8413/7611

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 8823/521, 8413/7611?

Answer: GCF of Numerators as per given numbers 8823/521, 8413/7611 is

GCF of Numerators i.e. for 8823,8413 is 1

LCM of denominators i.e. for 521,7611 is 3965331.

Thus, GCF of Fractions is 1/3965331.Finally, GCF of Fractions for 8823/521, 8413/7611 is 1/3965331.