Greatest Common Factor of 135/563, 805/760, 142/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 135/563, 805/760, 142/416

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 135/563,805/760,142/416

Given fractions are 135/563,805/760,142/416

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 135,805,142

Greatest Common Factor of Numerators i.e. GCF of 135,805,142 is 1 .

LCM of Denominators means LCM of 563,760,416 as per the given fractions.

LCM of 563,760,416 is 22249760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 135,805,142

GCF of Fractions 135/563,805/760,142/416 is 1/22249760

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

Greatest Common Factor of 135,805,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,805,142 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 135,805,142 . The biggest common factor number is the GCF number.
So the greatest common factor 135,805,142 is 1.

Lets's calculate LCM of 563,760,416

2 563, 760, 416
2 563, 380, 208
2 563, 190, 104
563, 95, 52

∴ So the LCM of the given numbers is 2 x 2 x 2 x 563 x 95 x 52 = 22249760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22249760

Therefore, the GCF of Fractions 135/563,805/760,142/416 is 1/22249760

Least Common Multiple of 563,760,416 with GCF Formula

Least Common Multiple of 563,760,416 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 563,760,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,760,416) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(563,760,416) x common factors =1 x 8 = 8

LCM(563,760,416) = ( 563 × 760 × 416 ) / 8

LCM(563,760,416) = 177998080 / 8

LCM(563,760,416) = 22249760


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 135/563, 805/760, 142/416

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 135/563, 805/760, 142/416?

Answer: GCF of Numerators as per given numbers 135/563, 805/760, 142/416 is

GCF of Numerators i.e. for 135,805,142 is 1

LCM of denominators i.e. for 563,760,416 is 22249760.

Thus, GCF of Fractions is 1/22249760.Finally, GCF of Fractions for 135/563, 805/760, 142/416 is 1/22249760.