Greatest Common Factor of 81/70, 183/15, 960/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/70, 183/15, 960/426

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 81/70,183/15,960/426

Given fractions are 81/70,183/15,960/426

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 81,183,960

Greatest Common Factor of Numerators i.e. GCF of 81,183,960 is 3 .

LCM of Denominators means LCM of 70,15,426 as per the given fractions.

LCM of 70,15,426 is 14910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,183,960

GCF of Fractions 81/70,183/15,960/426 is 3/14910

3 81, 183, 960
27, 61, 320

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

Greatest Common Factor of 81,183,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,183,960 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 81,183,960 . The biggest common factor number is the GCF number.
So the greatest common factor 81,183,960 is 3.

Lets's calculate LCM of 70,15,426

2 70, 15, 426
3 35, 15, 213
5 35, 5, 71
7, 1, 71

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 71 = 14910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14910

Therefore, the GCF of Fractions 81/70,183/15,960/426 is 3/14910

Least Common Multiple of 70,15,426 with GCF Formula

Least Common Multiple of 70,15,426 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 70,15,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,15,426) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(70,15,426) x common factors =1 x 30 = 30

LCM(70,15,426) = ( 70 × 15 × 426 ) / 30

LCM(70,15,426) = 447300 / 30

LCM(70,15,426) = 14910


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 81/70, 183/15, 960/426

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 81/70, 183/15, 960/426?

Answer: GCF of Numerators as per given numbers 81/70, 183/15, 960/426 is

GCF of Numerators i.e. for 81,183,960 is 3

LCM of denominators i.e. for 70,15,426 is 14910.

Thus, GCF of Fractions is 3/14910.Finally, GCF of Fractions for 81/70, 183/15, 960/426 is 3/14910.