Greatest Common Factor of 5528/580, 9354/5232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5528/580, 9354/5232

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 5528/580,9354/5232

Given fractions are 5528/580,9354/5232

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 5528,9354

Greatest Common Factor of Numerators i.e. GCF of 5528,9354 is 2 .

LCM of Denominators means LCM of 580,5232 as per the given fractions.

LCM of 580,5232 is 758640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5528,9354

GCF of Fractions 5528/580,9354/5232 is 2/758640

2 5528, 9354
2764, 4677

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

Greatest Common Factor of 5528,9354 By Matching Biggest Common Factor Method

Greatest Common Factor of 5528,9354 By Matching Biggest Common Factor Method

Factors of 5528

List of positive integer factors of 5528 that divides 5528 without a remainder.

1,2,4,8,691,1382,2764,5528

Factors of 9354

List of positive integer factors of 9354 that divides 9354 without a remainder.

1,2,3,6,1559,3118,4677,9354

Greatest Common Factor

We found the factors 5528,9354 . The biggest common factor number is the GCF number.
So the greatest common factor 5528,9354 is 2.

Lets's calculate LCM of 580,5232

2 580, 5232
2 290, 2616
145, 1308

∴ So the LCM of the given numbers is 2 x 2 x 145 x 1308 = 758640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/758640

Therefore, the GCF of Fractions 5528/580,9354/5232 is 2/758640

Least Common Multiple of 580,5232 with GCF Formula

Least Common Multiple of 580,5232 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 580,5232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,5232) = 4

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

GCF(580,5232) x common factors =4 x 1 = 4

LCM(580,5232) = ( 580 × 5232 ) / 4

LCM(580,5232) = 3034560 / 4

LCM(580,5232) = 758640


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 5528/580, 9354/5232

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 5528/580, 9354/5232?

Answer: GCF of Numerators as per given numbers 5528/580, 9354/5232 is

GCF of Numerators i.e. for 5528,9354 is 2

LCM of denominators i.e. for 580,5232 is 758640.

Thus, GCF of Fractions is 2/758640.Finally, GCF of Fractions for 5528/580, 9354/5232 is 2/758640.