Greatest Common Factor of 315/35, 9738/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 315/35, 9738/917

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 315/35,9738/917

Given fractions are 315/35,9738/917

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 315,9738

Greatest Common Factor of Numerators i.e. GCF of 315,9738 is 9 .

LCM of Denominators means LCM of 35,917 as per the given fractions.

LCM of 35,917 is 4585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 315,9738

GCF of Fractions 315/35,9738/917 is 9/4585

3 315, 9738
3 105, 3246
35, 1082

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

Greatest Common Factor of 315,9738 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,9738 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 9738

List of positive integer factors of 9738 that divides 9738 without a remainder.

1,2,3,6,9,18,541,1082,1623,3246,4869,9738

Greatest Common Factor

We found the factors 315,9738 . The biggest common factor number is the GCF number.
So the greatest common factor 315,9738 is 9.

Lets's calculate LCM of 35,917

7 35, 917
5, 131

∴ So the LCM of the given numbers is 7 x 5 x 131 = 4585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4585

Therefore, the GCF of Fractions 315/35,9738/917 is 9/4585

Least Common Multiple of 35,917 with GCF Formula

Least Common Multiple of 35,917 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 35,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,917) = 7

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

GCF(35,917) x common factors =7 x 1 = 7

LCM(35,917) = ( 35 × 917 ) / 7

LCM(35,917) = 32095 / 7

LCM(35,917) = 4585


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 315/35, 9738/917

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 315/35, 9738/917?

Answer: GCF of Numerators as per given numbers 315/35, 9738/917 is

GCF of Numerators i.e. for 315,9738 is 9

LCM of denominators i.e. for 35,917 is 4585.

Thus, GCF of Fractions is 9/4585.Finally, GCF of Fractions for 315/35, 9738/917 is 9/4585.