Greatest Common Factor of 927/520, 7002/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 927/520, 7002/805

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 927/520,7002/805

Given fractions are 927/520,7002/805

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 927,7002

Greatest Common Factor of Numerators i.e. GCF of 927,7002 is 9 .

LCM of Denominators means LCM of 520,805 as per the given fractions.

LCM of 520,805 is 83720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 927,7002

GCF of Fractions 927/520,7002/805 is 9/83720

3 927, 7002
3 309, 2334
103, 778

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 927,7002 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,7002 By Matching Biggest Common Factor Method

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 7002

List of positive integer factors of 7002 that divides 7002 without a remainder.

1,2,3,6,9,18,389,778,1167,2334,3501,7002

Greatest Common Factor

We found the factors 927,7002 . The biggest common factor number is the GCF number.
So the greatest common factor 927,7002 is 9.

Lets's calculate LCM of 520,805

5 520, 805
104, 161

∴ So the LCM of the given numbers is 5 x 104 x 161 = 83720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/83720

Therefore, the GCF of Fractions 927/520,7002/805 is 9/83720

Least Common Multiple of 520,805 with GCF Formula

Least Common Multiple of 520,805 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 520,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,805) = 5

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

GCF(520,805) x common factors =5 x 1 = 5

LCM(520,805) = ( 520 × 805 ) / 5

LCM(520,805) = 418600 / 5

LCM(520,805) = 83720


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 927/520, 7002/805

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 927/520, 7002/805?

Answer: GCF of Numerators as per given numbers 927/520, 7002/805 is

GCF of Numerators i.e. for 927,7002 is 9

LCM of denominators i.e. for 520,805 is 83720.

Thus, GCF of Fractions is 9/83720.Finally, GCF of Fractions for 927/520, 7002/805 is 9/83720.