Greatest Common Factor of 5/26, 26/34, 68/693, 578/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/26, 26/34, 68/693, 578/766

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 5/26,26/34,68/693,578/766

Given fractions are 5/26,26/34,68/693,578/766

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 5,26,68,578

Greatest Common Factor of Numerators i.e. GCF of 5,26,68,578 is 1 .

LCM of Denominators means LCM of 26,34,693,766 as per the given fractions.

LCM of 26,34,693,766 is 117315198 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,26,68,578

GCF of Fractions 5/26,26/34,68/693,578/766 is 1/117315198

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

Greatest Common Factor of 5,26,68,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,26,68,578 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 5,26,68,578 . The biggest common factor number is the GCF number.
So the greatest common factor 5,26,68,578 is 1.

Lets's calculate LCM of 26,34,693,766

2 26, 34, 693, 766
13, 17, 693, 383

∴ So the LCM of the given numbers is 2 x 13 x 17 x 693 x 383 = 117315198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117315198

Therefore, the GCF of Fractions 5/26,26/34,68/693,578/766 is 1/117315198

Least Common Multiple of 26,34,693,766 with GCF Formula

Least Common Multiple of 26,34,693,766 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 26,34,693,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,34,693,766) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(26,34,693,766) x common factors =1 x 4 = 4

LCM(26,34,693,766) = ( 26 × 34 × 693 × 766 ) / 4

LCM(26,34,693,766) = 469260792 / 4

LCM(26,34,693,766) = 117315198


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 5/26, 26/34, 68/693, 578/766

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 5/26, 26/34, 68/693, 578/766?

Answer: GCF of Numerators as per given numbers 5/26, 26/34, 68/693, 578/766 is

GCF of Numerators i.e. for 5,26,68,578 is 1

LCM of denominators i.e. for 26,34,693,766 is 117315198.

Thus, GCF of Fractions is 1/117315198.Finally, GCF of Fractions for 5/26, 26/34, 68/693, 578/766 is 1/117315198.