Greatest Common Factor of 5506/65, 7374/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5506/65, 7374/732

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 5506/65,7374/732

Given fractions are 5506/65,7374/732

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 5506,7374

Greatest Common Factor of Numerators i.e. GCF of 5506,7374 is 2 .

LCM of Denominators means LCM of 65,732 as per the given fractions.

LCM of 65,732 is 47580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5506,7374

GCF of Fractions 5506/65,7374/732 is 2/47580

2 5506, 7374
2753, 3687

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

Greatest Common Factor of 5506,7374 By Matching Biggest Common Factor Method

Greatest Common Factor of 5506,7374 By Matching Biggest Common Factor Method

Factors of 5506

List of positive integer factors of 5506 that divides 5506 without a remainder.

1,2,2753,5506

Factors of 7374

List of positive integer factors of 7374 that divides 7374 without a remainder.

1,2,3,6,1229,2458,3687,7374

Greatest Common Factor

We found the factors 5506,7374 . The biggest common factor number is the GCF number.
So the greatest common factor 5506,7374 is 2.

Lets's calculate LCM of 65,732

Given numbers has no common factors except 1. So, there LCM is their product i.e 47580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47580

Therefore, the GCF of Fractions 5506/65,7374/732 is 2/47580

Least Common Multiple of 65,732 with GCF Formula

Least Common Multiple of 65,732 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 65,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,732) = 1

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

GCF(65,732) x common factors =1 x 1 = 1

LCM(65,732) = ( 65 × 732 ) / 1

LCM(65,732) = 47580 / 1

LCM(65,732) = 47580


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 5506/65, 7374/732

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 5506/65, 7374/732?

Answer: GCF of Numerators as per given numbers 5506/65, 7374/732 is

GCF of Numerators i.e. for 5506,7374 is 2

LCM of denominators i.e. for 65,732 is 47580.

Thus, GCF of Fractions is 2/47580.Finally, GCF of Fractions for 5506/65, 7374/732 is 2/47580.