Greatest Common Factor of 653/51, 542/38, 406/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 653/51, 542/38, 406/867

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 653/51,542/38,406/867

Given fractions are 653/51,542/38,406/867

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 653,542,406

Greatest Common Factor of Numerators i.e. GCF of 653,542,406 is 1 .

LCM of Denominators means LCM of 51,38,867 as per the given fractions.

LCM of 51,38,867 is 32946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 653,542,406

GCF of Fractions 653/51,542/38,406/867 is 1/32946

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

Greatest Common Factor of 653,542,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,542,406 By Matching Biggest Common Factor Method

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 653,542,406 . The biggest common factor number is the GCF number.
So the greatest common factor 653,542,406 is 1.

Lets's calculate LCM of 51,38,867

3 51, 38, 867
17 17, 38, 289
1, 38, 17

∴ So the LCM of the given numbers is 3 x 17 x 1 x 38 x 17 = 32946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32946

Therefore, the GCF of Fractions 653/51,542/38,406/867 is 1/32946

Least Common Multiple of 51,38,867 with GCF Formula

Least Common Multiple of 51,38,867 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 51,38,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,38,867) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(51,38,867) x common factors =1 x 51 = 51

LCM(51,38,867) = ( 51 × 38 × 867 ) / 51

LCM(51,38,867) = 1680246 / 51

LCM(51,38,867) = 32946


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 653/51, 542/38, 406/867

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 653/51, 542/38, 406/867?

Answer: GCF of Numerators as per given numbers 653/51, 542/38, 406/867 is

GCF of Numerators i.e. for 653,542,406 is 1

LCM of denominators i.e. for 51,38,867 is 32946.

Thus, GCF of Fractions is 1/32946.Finally, GCF of Fractions for 653/51, 542/38, 406/867 is 1/32946.