Greatest Common Factor of 5564/58, 3536/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5564/58, 3536/734

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 5564/58,3536/734

Given fractions are 5564/58,3536/734

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 5564,3536

Greatest Common Factor of Numerators i.e. GCF of 5564,3536 is 52 .

LCM of Denominators means LCM of 58,734 as per the given fractions.

LCM of 58,734 is 21286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5564,3536

GCF of Fractions 5564/58,3536/734 is 52/21286

2 5564, 3536
2 2782, 1768
13 1391, 884
107, 68

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 5564,3536 By Matching Biggest Common Factor Method

Greatest Common Factor of 5564,3536 By Matching Biggest Common Factor Method

Factors of 5564

List of positive integer factors of 5564 that divides 5564 without a remainder.

1,2,4,13,26,52,107,214,428,1391,2782,5564

Factors of 3536

List of positive integer factors of 3536 that divides 3536 without a remainder.

1,2,4,8,13,16,17,26,34,52,68,104,136,208,221,272,442,884,1768,3536

Greatest Common Factor

We found the factors 5564,3536 . The biggest common factor number is the GCF number.
So the greatest common factor 5564,3536 is 52.

Lets's calculate LCM of 58,734

2 58, 734
29, 367

∴ So the LCM of the given numbers is 2 x 29 x 367 = 21286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/21286

Therefore, the GCF of Fractions 5564/58,3536/734 is 52/21286

Least Common Multiple of 58,734 with GCF Formula

Least Common Multiple of 58,734 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 58,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,734) = 2

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

GCF(58,734) x common factors =2 x 1 = 2

LCM(58,734) = ( 58 × 734 ) / 2

LCM(58,734) = 42572 / 2

LCM(58,734) = 21286


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 5564/58, 3536/734

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 5564/58, 3536/734?

Answer: GCF of Numerators as per given numbers 5564/58, 3536/734 is

GCF of Numerators i.e. for 5564,3536 is 52

LCM of denominators i.e. for 58,734 is 21286.

Thus, GCF of Fractions is 52/21286.Finally, GCF of Fractions for 5564/58, 3536/734 is 52/21286.