Greatest Common Factor of 958/71, 220/27, 770/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 958/71, 220/27, 770/90

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 958/71,220/27,770/90

Given fractions are 958/71,220/27,770/90

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 958,220,770

Greatest Common Factor of Numerators i.e. GCF of 958,220,770 is 2 .

LCM of Denominators means LCM of 71,27,90 as per the given fractions.

LCM of 71,27,90 is 19170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 958,220,770

GCF of Fractions 958/71,220/27,770/90 is 2/19170

2 958, 220, 770
479, 110, 385

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 958,220,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,220,770 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 958,220,770 . The biggest common factor number is the GCF number.
So the greatest common factor 958,220,770 is 2.

Lets's calculate LCM of 71,27,90

3 71, 27, 90
3 71, 9, 30
71, 3, 10

∴ So the LCM of the given numbers is 3 x 3 x 71 x 3 x 10 = 19170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19170

Therefore, the GCF of Fractions 958/71,220/27,770/90 is 2/19170

Least Common Multiple of 71,27,90 with GCF Formula

Least Common Multiple of 71,27,90 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 71,27,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,27,90) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(71,27,90) x common factors =1 x 9 = 9

LCM(71,27,90) = ( 71 × 27 × 90 ) / 9

LCM(71,27,90) = 172530 / 9

LCM(71,27,90) = 19170


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 958/71, 220/27, 770/90

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 958/71, 220/27, 770/90?

Answer: GCF of Numerators as per given numbers 958/71, 220/27, 770/90 is

GCF of Numerators i.e. for 958,220,770 is 2

LCM of denominators i.e. for 71,27,90 is 19170.

Thus, GCF of Fractions is 2/19170.Finally, GCF of Fractions for 958/71, 220/27, 770/90 is 2/19170.