Greatest Common Factor of 8955/522, 6910/1004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8955/522, 6910/1004

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 8955/522,6910/1004

Given fractions are 8955/522,6910/1004

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 8955,6910

Greatest Common Factor of Numerators i.e. GCF of 8955,6910 is 5 .

LCM of Denominators means LCM of 522,1004 as per the given fractions.

LCM of 522,1004 is 262044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8955,6910

GCF of Fractions 8955/522,6910/1004 is 5/262044

5 8955, 6910
1791, 1382

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8955,6910 By Matching Biggest Common Factor Method

Greatest Common Factor of 8955,6910 By Matching Biggest Common Factor Method

Factors of 8955

List of positive integer factors of 8955 that divides 8955 without a remainder.

1,3,5,9,15,45,199,597,995,1791,2985,8955

Factors of 6910

List of positive integer factors of 6910 that divides 6910 without a remainder.

1,2,5,10,691,1382,3455,6910

Greatest Common Factor

We found the factors 8955,6910 . The biggest common factor number is the GCF number.
So the greatest common factor 8955,6910 is 5.

Lets's calculate LCM of 522,1004

2 522, 1004
261, 502

∴ So the LCM of the given numbers is 2 x 261 x 502 = 262044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/262044

Therefore, the GCF of Fractions 8955/522,6910/1004 is 5/262044

Least Common Multiple of 522,1004 with GCF Formula

Least Common Multiple of 522,1004 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 522,1004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,1004) = 2

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

GCF(522,1004) x common factors =2 x 1 = 2

LCM(522,1004) = ( 522 × 1004 ) / 2

LCM(522,1004) = 524088 / 2

LCM(522,1004) = 262044


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 8955/522, 6910/1004

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 8955/522, 6910/1004?

Answer: GCF of Numerators as per given numbers 8955/522, 6910/1004 is

GCF of Numerators i.e. for 8955,6910 is 5

LCM of denominators i.e. for 522,1004 is 262044.

Thus, GCF of Fractions is 5/262044.Finally, GCF of Fractions for 8955/522, 6910/1004 is 5/262044.