Greatest Common Factor of 112/478, 414/621, 561/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 112/478, 414/621, 561/543

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 112/478,414/621,561/543

Given fractions are 112/478,414/621,561/543

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 112,414,561

Greatest Common Factor of Numerators i.e. GCF of 112,414,561 is 1 .

LCM of Denominators means LCM of 478,621,543 as per the given fractions.

LCM of 478,621,543 is 53727678 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 112,414,561

GCF of Fractions 112/478,414/621,561/543 is 1/53727678

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

Greatest Common Factor of 112,414,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,414,561 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

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

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 112,414,561 . The biggest common factor number is the GCF number.
So the greatest common factor 112,414,561 is 1.

Lets's calculate LCM of 478,621,543

3 478, 621, 543
478, 207, 181

∴ So the LCM of the given numbers is 3 x 478 x 207 x 181 = 53727678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53727678

Therefore, the GCF of Fractions 112/478,414/621,561/543 is 1/53727678

Least Common Multiple of 478,621,543 with GCF Formula

Least Common Multiple of 478,621,543 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 478,621,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,621,543) = 1

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

GCF(478,621,543) x common factors =1 x 3 = 3

LCM(478,621,543) = ( 478 × 621 × 543 ) / 3

LCM(478,621,543) = 161183034 / 3

LCM(478,621,543) = 53727678


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 112/478, 414/621, 561/543

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 112/478, 414/621, 561/543?

Answer: GCF of Numerators as per given numbers 112/478, 414/621, 561/543 is

GCF of Numerators i.e. for 112,414,561 is 1

LCM of denominators i.e. for 478,621,543 is 53727678.

Thus, GCF of Fractions is 1/53727678.Finally, GCF of Fractions for 112/478, 414/621, 561/543 is 1/53727678.