Greatest Common Factor of 983/65, 270/89, 164/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 983/65, 270/89, 164/364

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 983/65,270/89,164/364

Given fractions are 983/65,270/89,164/364

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 983,270,164

Greatest Common Factor of Numerators i.e. GCF of 983,270,164 is 1 .

LCM of Denominators means LCM of 65,89,364 as per the given fractions.

LCM of 65,89,364 is 161980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 983,270,164

GCF of Fractions 983/65,270/89,164/364 is 1/161980

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

Greatest Common Factor of 983,270,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,270,164 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 983,270,164 . The biggest common factor number is the GCF number.
So the greatest common factor 983,270,164 is 1.

Lets's calculate LCM of 65,89,364

13 65, 89, 364
5, 89, 28

∴ So the LCM of the given numbers is 13 x 5 x 89 x 28 = 161980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161980

Therefore, the GCF of Fractions 983/65,270/89,164/364 is 1/161980

Least Common Multiple of 65,89,364 with GCF Formula

Least Common Multiple of 65,89,364 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 65,89,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,89,364) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(65,89,364) x common factors =1 x 13 = 13

LCM(65,89,364) = ( 65 × 89 × 364 ) / 13

LCM(65,89,364) = 2105740 / 13

LCM(65,89,364) = 161980


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 983/65, 270/89, 164/364

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 983/65, 270/89, 164/364?

Answer: GCF of Numerators as per given numbers 983/65, 270/89, 164/364 is

GCF of Numerators i.e. for 983,270,164 is 1

LCM of denominators i.e. for 65,89,364 is 161980.

Thus, GCF of Fractions is 1/161980.Finally, GCF of Fractions for 983/65, 270/89, 164/364 is 1/161980.