Greatest Common Factor of 793/87, 971/65, 289/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 793/87, 971/65, 289/65

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 793/87,971/65,289/65

Given fractions are 793/87,971/65,289/65

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 793,971,289

Greatest Common Factor of Numerators i.e. GCF of 793,971,289 is 1 .

LCM of Denominators means LCM of 87,65,65 as per the given fractions.

LCM of 87,65,65 is 5655 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 793,971,289

GCF of Fractions 793/87,971/65,289/65 is 1/5655

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

Greatest Common Factor of 793,971,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 793,971,289 By Matching Biggest Common Factor Method

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 793,971,289 . The biggest common factor number is the GCF number.
So the greatest common factor 793,971,289 is 1.

Lets's calculate LCM of 87,65,65

5 87, 65, 65
13 87, 13, 13
87, 1, 1

∴ So the LCM of the given numbers is 5 x 13 x 87 x 1 x 1 = 5655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5655

Therefore, the GCF of Fractions 793/87,971/65,289/65 is 1/5655

Least Common Multiple of 87,65,65 with GCF Formula

Least Common Multiple of 87,65,65 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 87,65,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,65,65) = 1

common factors(in case of two or more numbers have common factors) = 65

GCF(87,65,65) x common factors =1 x 65 = 65

LCM(87,65,65) = ( 87 × 65 × 65 ) / 65

LCM(87,65,65) = 367575 / 65

LCM(87,65,65) = 5655


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 793/87, 971/65, 289/65

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 793/87, 971/65, 289/65?

Answer: GCF of Numerators as per given numbers 793/87, 971/65, 289/65 is

GCF of Numerators i.e. for 793,971,289 is 1

LCM of denominators i.e. for 87,65,65 is 5655.

Thus, GCF of Fractions is 1/5655.Finally, GCF of Fractions for 793/87, 971/65, 289/65 is 1/5655.