Greatest Common Factor of 8315/350, 9070/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8315/350, 9070/909

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 8315/350,9070/909

Given fractions are 8315/350,9070/909

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 8315,9070

Greatest Common Factor of Numerators i.e. GCF of 8315,9070 is 5 .

LCM of Denominators means LCM of 350,909 as per the given fractions.

LCM of 350,909 is 318150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8315,9070

GCF of Fractions 8315/350,9070/909 is 5/318150

5 8315, 9070
1663, 1814

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

Greatest Common Factor of 8315,9070 By Matching Biggest Common Factor Method

Greatest Common Factor of 8315,9070 By Matching Biggest Common Factor Method

Factors of 8315

List of positive integer factors of 8315 that divides 8315 without a remainder.

1,5,1663,8315

Factors of 9070

List of positive integer factors of 9070 that divides 9070 without a remainder.

1,2,5,10,907,1814,4535,9070

Greatest Common Factor

We found the factors 8315,9070 . The biggest common factor number is the GCF number.
So the greatest common factor 8315,9070 is 5.

Lets's calculate LCM of 350,909

Given numbers has no common factors except 1. So, there LCM is their product i.e 318150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/318150

Therefore, the GCF of Fractions 8315/350,9070/909 is 5/318150

Least Common Multiple of 350,909 with GCF Formula

Least Common Multiple of 350,909 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 350,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,909) = 1

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

GCF(350,909) x common factors =1 x 1 = 1

LCM(350,909) = ( 350 × 909 ) / 1

LCM(350,909) = 318150 / 1

LCM(350,909) = 318150


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 8315/350, 9070/909

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 8315/350, 9070/909?

Answer: GCF of Numerators as per given numbers 8315/350, 9070/909 is

GCF of Numerators i.e. for 8315,9070 is 5

LCM of denominators i.e. for 350,909 is 318150.

Thus, GCF of Fractions is 5/318150.Finally, GCF of Fractions for 8315/350, 9070/909 is 5/318150.