Greatest Common Factor of 69/456, 26/728, 543/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/456, 26/728, 543/690

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 69/456,26/728,543/690

Given fractions are 69/456,26/728,543/690

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 69,26,543

Greatest Common Factor of Numerators i.e. GCF of 69,26,543 is 1 .

LCM of Denominators means LCM of 456,728,690 as per the given fractions.

LCM of 456,728,690 is 4772040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,26,543

GCF of Fractions 69/456,26/728,543/690 is 1/4772040

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

Greatest Common Factor of 69,26,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,26,543 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 26

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

1,2,13,26

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 69,26,543 . The biggest common factor number is the GCF number.
So the greatest common factor 69,26,543 is 1.

Lets's calculate LCM of 456,728,690

2 456, 728, 690
2 228, 364, 345
2 114, 182, 345
3 57, 91, 345
19, 91, 115

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 91 x 115 = 4772040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4772040

Therefore, the GCF of Fractions 69/456,26/728,543/690 is 1/4772040

Least Common Multiple of 456,728,690 with GCF Formula

Least Common Multiple of 456,728,690 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 456,728,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,728,690) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(456,728,690) x common factors =2 x 24 = 48

LCM(456,728,690) = ( 456 × 728 × 690 ) / 48

LCM(456,728,690) = 229057920 / 48

LCM(456,728,690) = 4772040


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 69/456, 26/728, 543/690

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 69/456, 26/728, 543/690?

Answer: GCF of Numerators as per given numbers 69/456, 26/728, 543/690 is

GCF of Numerators i.e. for 69,26,543 is 1

LCM of denominators i.e. for 456,728,690 is 4772040.

Thus, GCF of Fractions is 1/4772040.Finally, GCF of Fractions for 69/456, 26/728, 543/690 is 1/4772040.