Greatest Common Factor of 563/456, 695/615, 414/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 563/456, 695/615, 414/269

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 563/456,695/615,414/269

Given fractions are 563/456,695/615,414/269

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 563,695,414

Greatest Common Factor of Numerators i.e. GCF of 563,695,414 is 1 .

LCM of Denominators means LCM of 456,615,269 as per the given fractions.

LCM of 456,615,269 is 25146120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 563,695,414

GCF of Fractions 563/456,695/615,414/269 is 1/25146120

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

Greatest Common Factor of 563,695,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 563,695,414 By Matching Biggest Common Factor Method

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 563,695,414 . The biggest common factor number is the GCF number.
So the greatest common factor 563,695,414 is 1.

Lets's calculate LCM of 456,615,269

3 456, 615, 269
152, 205, 269

∴ So the LCM of the given numbers is 3 x 152 x 205 x 269 = 25146120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25146120

Therefore, the GCF of Fractions 563/456,695/615,414/269 is 1/25146120

Least Common Multiple of 456,615,269 with GCF Formula

Least Common Multiple of 456,615,269 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 456,615,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,615,269) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(456,615,269) x common factors =1 x 3 = 3

LCM(456,615,269) = ( 456 × 615 × 269 ) / 3

LCM(456,615,269) = 75438360 / 3

LCM(456,615,269) = 25146120


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 563/456, 695/615, 414/269

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 563/456, 695/615, 414/269?

Answer: GCF of Numerators as per given numbers 563/456, 695/615, 414/269 is

GCF of Numerators i.e. for 563,695,414 is 1

LCM of denominators i.e. for 456,615,269 is 25146120.

Thus, GCF of Fractions is 1/25146120.Finally, GCF of Fractions for 563/456, 695/615, 414/269 is 1/25146120.