Greatest Common Factor of 26/40, 43/240, 694/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/40, 43/240, 694/756

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 26/40,43/240,694/756

Given fractions are 26/40,43/240,694/756

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 26,43,694

Greatest Common Factor of Numerators i.e. GCF of 26,43,694 is 1 .

LCM of Denominators means LCM of 40,240,756 as per the given fractions.

LCM of 40,240,756 is 15120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,43,694

GCF of Fractions 26/40,43/240,694/756 is 1/15120

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

Greatest Common Factor of 26,43,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,43,694 By Matching Biggest Common Factor Method

Factors of 26

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

1,2,13,26

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 26,43,694 . The biggest common factor number is the GCF number.
So the greatest common factor 26,43,694 is 1.

Lets's calculate LCM of 40,240,756

2 40, 240, 756
2 20, 120, 378
2 10, 60, 189
3 5, 30, 189
5 5, 10, 63
1, 2, 63

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 2 x 63 = 15120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15120

Therefore, the GCF of Fractions 26/40,43/240,694/756 is 1/15120

Least Common Multiple of 40,240,756 with GCF Formula

Least Common Multiple of 40,240,756 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 40,240,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,240,756) = 4

common factors(in case of two or more numbers have common factors) = 120

GCF(40,240,756) x common factors =4 x 120 = 480

LCM(40,240,756) = ( 40 × 240 × 756 ) / 480

LCM(40,240,756) = 7257600 / 480

LCM(40,240,756) = 15120


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 26/40, 43/240, 694/756

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 26/40, 43/240, 694/756?

Answer: GCF of Numerators as per given numbers 26/40, 43/240, 694/756 is

GCF of Numerators i.e. for 26,43,694 is 1

LCM of denominators i.e. for 40,240,756 is 15120.

Thus, GCF of Fractions is 1/15120.Finally, GCF of Fractions for 26/40, 43/240, 694/756 is 1/15120.