Greatest Common Factor of 5216/59, 5504/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5216/59, 5504/422

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 5216/59,5504/422

Given fractions are 5216/59,5504/422

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 5216,5504

Greatest Common Factor of Numerators i.e. GCF of 5216,5504 is 32 .

LCM of Denominators means LCM of 59,422 as per the given fractions.

LCM of 59,422 is 24898 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5216,5504

GCF of Fractions 5216/59,5504/422 is 32/24898

2 5216, 5504
2 2608, 2752
2 1304, 1376
2 652, 688
2 326, 344
163, 172

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 5216,5504 By Matching Biggest Common Factor Method

Greatest Common Factor of 5216,5504 By Matching Biggest Common Factor Method

Factors of 5216

List of positive integer factors of 5216 that divides 5216 without a remainder.

1,2,4,8,16,32,163,326,652,1304,2608,5216

Factors of 5504

List of positive integer factors of 5504 that divides 5504 without a remainder.

1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504

Greatest Common Factor

We found the factors 5216,5504 . The biggest common factor number is the GCF number.
So the greatest common factor 5216,5504 is 32.

Lets's calculate LCM of 59,422

Given numbers has no common factors except 1. So, there LCM is their product i.e 24898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/24898

Therefore, the GCF of Fractions 5216/59,5504/422 is 32/24898

Least Common Multiple of 59,422 with GCF Formula

Least Common Multiple of 59,422 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 59,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,422) = 1

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

GCF(59,422) x common factors =1 x 1 = 1

LCM(59,422) = ( 59 × 422 ) / 1

LCM(59,422) = 24898 / 1

LCM(59,422) = 24898


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 5216/59, 5504/422

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 5216/59, 5504/422?

Answer: GCF of Numerators as per given numbers 5216/59, 5504/422 is

GCF of Numerators i.e. for 5216,5504 is 32

LCM of denominators i.e. for 59,422 is 24898.

Thus, GCF of Fractions is 32/24898.Finally, GCF of Fractions for 5216/59, 5504/422 is 32/24898.