Greatest Common Factor of 5494/563, 6812/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5494/563, 6812/416

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 5494/563,6812/416

Given fractions are 5494/563,6812/416

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 5494,6812

Greatest Common Factor of Numerators i.e. GCF of 5494,6812 is 2 .

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

LCM of 563,416 is 234208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5494,6812

GCF of Fractions 5494/563,6812/416 is 2/234208

2 5494, 6812
2747, 3406

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

Greatest Common Factor of 5494,6812 By Matching Biggest Common Factor Method

Greatest Common Factor of 5494,6812 By Matching Biggest Common Factor Method

Factors of 5494

List of positive integer factors of 5494 that divides 5494 without a remainder.

1,2,41,67,82,134,2747,5494

Factors of 6812

List of positive integer factors of 6812 that divides 6812 without a remainder.

1,2,4,13,26,52,131,262,524,1703,3406,6812

Greatest Common Factor

We found the factors 5494,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 5494,6812 is 2.

Lets's calculate LCM of 563,416

Given numbers has no common factors except 1. So, there LCM is their product i.e 234208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/234208

Therefore, the GCF of Fractions 5494/563,6812/416 is 2/234208

Least Common Multiple of 563,416 with GCF Formula

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

GCF(563,416) = 1

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

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

LCM(563,416) = ( 563 × 416 ) / 1

LCM(563,416) = 234208 / 1

LCM(563,416) = 234208


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 5494/563, 6812/416

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 5494/563, 6812/416?

Answer: GCF of Numerators as per given numbers 5494/563, 6812/416 is

GCF of Numerators i.e. for 5494,6812 is 2

LCM of denominators i.e. for 563,416 is 234208.

Thus, GCF of Fractions is 2/234208.Finally, GCF of Fractions for 5494/563, 6812/416 is 2/234208.