Greatest Common Factor of 17/65, 793/62, 856/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/65, 793/62, 856/676

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 17/65,793/62,856/676

Given fractions are 17/65,793/62,856/676

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 17,793,856

Greatest Common Factor of Numerators i.e. GCF of 17,793,856 is 1 .

LCM of Denominators means LCM of 65,62,676 as per the given fractions.

LCM of 65,62,676 is 104780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,793,856

GCF of Fractions 17/65,793/62,856/676 is 1/104780

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

Greatest Common Factor of 17,793,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,793,856 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 793

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

1,13,61,793

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 17,793,856 . The biggest common factor number is the GCF number.
So the greatest common factor 17,793,856 is 1.

Lets's calculate LCM of 65,62,676

2 65, 62, 676
13 65, 31, 338
5, 31, 26

∴ So the LCM of the given numbers is 2 x 13 x 5 x 31 x 26 = 104780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104780

Therefore, the GCF of Fractions 17/65,793/62,856/676 is 1/104780

Least Common Multiple of 65,62,676 with GCF Formula

Least Common Multiple of 65,62,676 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 65,62,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,62,676) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(65,62,676) x common factors =1 x 26 = 26

LCM(65,62,676) = ( 65 × 62 × 676 ) / 26

LCM(65,62,676) = 2724280 / 26

LCM(65,62,676) = 104780


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 17/65, 793/62, 856/676

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 17/65, 793/62, 856/676?

Answer: GCF of Numerators as per given numbers 17/65, 793/62, 856/676 is

GCF of Numerators i.e. for 17,793,856 is 1

LCM of denominators i.e. for 65,62,676 is 104780.

Thus, GCF of Fractions is 1/104780.Finally, GCF of Fractions for 17/65, 793/62, 856/676 is 1/104780.