Greatest Common Factor of 90/702, 94/972, 979/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/702, 94/972, 979/210

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 90/702,94/972,979/210

Given fractions are 90/702,94/972,979/210

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 90,94,979

Greatest Common Factor of Numerators i.e. GCF of 90,94,979 is 1 .

LCM of Denominators means LCM of 702,972,210 as per the given fractions.

LCM of 702,972,210 is 442260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,94,979

GCF of Fractions 90/702,94/972,979/210 is 1/442260

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

Greatest Common Factor of 90,94,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,94,979 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 90,94,979 . The biggest common factor number is the GCF number.
So the greatest common factor 90,94,979 is 1.

Lets's calculate LCM of 702,972,210

2 702, 972, 210
3 351, 486, 105
3 117, 162, 35
3 39, 54, 35
13, 18, 35

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 13 x 18 x 35 = 442260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/442260

Therefore, the GCF of Fractions 90/702,94/972,979/210 is 1/442260

Least Common Multiple of 702,972,210 with GCF Formula

Least Common Multiple of 702,972,210 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 702,972,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,972,210) = 6

common factors(in case of two or more numbers have common factors) = 54

GCF(702,972,210) x common factors =6 x 54 = 324

LCM(702,972,210) = ( 702 × 972 × 210 ) / 324

LCM(702,972,210) = 143292240 / 324

LCM(702,972,210) = 442260


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 90/702, 94/972, 979/210

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 90/702, 94/972, 979/210?

Answer: GCF of Numerators as per given numbers 90/702, 94/972, 979/210 is

GCF of Numerators i.e. for 90,94,979 is 1

LCM of denominators i.e. for 702,972,210 is 442260.

Thus, GCF of Fractions is 1/442260.Finally, GCF of Fractions for 90/702, 94/972, 979/210 is 1/442260.