Greatest Common Factor of 953/70, 3319/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 953/70, 3319/917

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 953/70,3319/917

Given fractions are 953/70,3319/917

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 953,3319

Greatest Common Factor of Numerators i.e. GCF of 953,3319 is 1 .

LCM of Denominators means LCM of 70,917 as per the given fractions.

LCM of 70,917 is 9170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 953,3319

GCF of Fractions 953/70,3319/917 is 1/9170

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

Greatest Common Factor of 953,3319 By Matching Biggest Common Factor Method

Greatest Common Factor of 953,3319 By Matching Biggest Common Factor Method

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Factors of 3319

List of positive integer factors of 3319 that divides 3319 without a remainder.

1,3319

Greatest Common Factor

We found the factors 953,3319 . The biggest common factor number is the GCF number.
So the greatest common factor 953,3319 is 1.

Lets's calculate LCM of 70,917

7 70, 917
10, 131

∴ So the LCM of the given numbers is 7 x 10 x 131 = 9170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9170

Therefore, the GCF of Fractions 953/70,3319/917 is 1/9170

Least Common Multiple of 70,917 with GCF Formula

Least Common Multiple of 70,917 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 70,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,917) = 7

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

GCF(70,917) x common factors =7 x 1 = 7

LCM(70,917) = ( 70 × 917 ) / 7

LCM(70,917) = 64190 / 7

LCM(70,917) = 9170


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 953/70, 3319/917

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 953/70, 3319/917?

Answer: GCF of Numerators as per given numbers 953/70, 3319/917 is

GCF of Numerators i.e. for 953,3319 is 1

LCM of denominators i.e. for 70,917 is 9170.

Thus, GCF of Fractions is 1/9170.Finally, GCF of Fractions for 953/70, 3319/917 is 1/9170.