Greatest Common Factor of 5594/894, 5706/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5594/894, 5706/126

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 5594/894,5706/126

Given fractions are 5594/894,5706/126

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 5594,5706

Greatest Common Factor of Numerators i.e. GCF of 5594,5706 is 2 .

LCM of Denominators means LCM of 894,126 as per the given fractions.

LCM of 894,126 is 18774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5594,5706

GCF of Fractions 5594/894,5706/126 is 2/18774

2 5594, 5706
2797, 2853

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5594,5706 By Matching Biggest Common Factor Method

Greatest Common Factor of 5594,5706 By Matching Biggest Common Factor Method

Factors of 5594

List of positive integer factors of 5594 that divides 5594 without a remainder.

1,2,2797,5594

Factors of 5706

List of positive integer factors of 5706 that divides 5706 without a remainder.

1,2,3,6,9,18,317,634,951,1902,2853,5706

Greatest Common Factor

We found the factors 5594,5706 . The biggest common factor number is the GCF number.
So the greatest common factor 5594,5706 is 2.

Lets's calculate LCM of 894,126

2 894, 126
3 447, 63
149, 21

∴ So the LCM of the given numbers is 2 x 3 x 149 x 21 = 18774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18774

Therefore, the GCF of Fractions 5594/894,5706/126 is 2/18774

Least Common Multiple of 894,126 with GCF Formula

Least Common Multiple of 894,126 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 894,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,126) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(894,126) x common factors =6 x 1 = 6

LCM(894,126) = ( 894 × 126 ) / 6

LCM(894,126) = 112644 / 6

LCM(894,126) = 18774


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 5594/894, 5706/126

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 5594/894, 5706/126?

Answer: GCF of Numerators as per given numbers 5594/894, 5706/126 is

GCF of Numerators i.e. for 5594,5706 is 2

LCM of denominators i.e. for 894,126 is 18774.

Thus, GCF of Fractions is 2/18774.Finally, GCF of Fractions for 5594/894, 5706/126 is 2/18774.