Greatest Common Factor of 8790/35, 6227/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8790/35, 6227/364

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 8790/35,6227/364

Given fractions are 8790/35,6227/364

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 8790,6227

Greatest Common Factor of Numerators i.e. GCF of 8790,6227 is 1 .

LCM of Denominators means LCM of 35,364 as per the given fractions.

LCM of 35,364 is 1820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8790,6227

GCF of Fractions 8790/35,6227/364 is 1/1820

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

Greatest Common Factor of 8790,6227 By Matching Biggest Common Factor Method

Greatest Common Factor of 8790,6227 By Matching Biggest Common Factor Method

Factors of 8790

List of positive integer factors of 8790 that divides 8790 without a remainder.

1,2,3,5,6,10,15,30,293,586,879,1465,1758,2930,4395,8790

Factors of 6227

List of positive integer factors of 6227 that divides 6227 without a remainder.

1,13,479,6227

Greatest Common Factor

We found the factors 8790,6227 . The biggest common factor number is the GCF number.
So the greatest common factor 8790,6227 is 1.

Lets's calculate LCM of 35,364

7 35, 364
5, 52

∴ So the LCM of the given numbers is 7 x 5 x 52 = 1820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1820

Therefore, the GCF of Fractions 8790/35,6227/364 is 1/1820

Least Common Multiple of 35,364 with GCF Formula

Least Common Multiple of 35,364 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 35,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,364) = 7

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

GCF(35,364) x common factors =7 x 1 = 7

LCM(35,364) = ( 35 × 364 ) / 7

LCM(35,364) = 12740 / 7

LCM(35,364) = 1820


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 8790/35, 6227/364

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 8790/35, 6227/364?

Answer: GCF of Numerators as per given numbers 8790/35, 6227/364 is

GCF of Numerators i.e. for 8790,6227 is 1

LCM of denominators i.e. for 35,364 is 1820.

Thus, GCF of Fractions is 1/1820.Finally, GCF of Fractions for 8790/35, 6227/364 is 1/1820.