Greatest Common Factor of 5617/436, 7354/9585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5617/436, 7354/9585

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 5617/436,7354/9585

Given fractions are 5617/436,7354/9585

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 5617,7354

Greatest Common Factor of Numerators i.e. GCF of 5617,7354 is 1 .

LCM of Denominators means LCM of 436,9585 as per the given fractions.

LCM of 436,9585 is 4179060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5617,7354

GCF of Fractions 5617/436,7354/9585 is 1/4179060

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5617,7354 By Matching Biggest Common Factor Method

Greatest Common Factor of 5617,7354 By Matching Biggest Common Factor Method

Factors of 5617

List of positive integer factors of 5617 that divides 5617 without a remainder.

1,41,137,5617

Factors of 7354

List of positive integer factors of 7354 that divides 7354 without a remainder.

1,2,3677,7354

Greatest Common Factor

We found the factors 5617,7354 . The biggest common factor number is the GCF number.
So the greatest common factor 5617,7354 is 1.

Lets's calculate LCM of 436,9585

Given numbers has no common factors except 1. So, there LCM is their product i.e 4179060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4179060

Therefore, the GCF of Fractions 5617/436,7354/9585 is 1/4179060

Least Common Multiple of 436,9585 with GCF Formula

Least Common Multiple of 436,9585 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 436,9585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,9585) = 1

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

GCF(436,9585) x common factors =1 x 1 = 1

LCM(436,9585) = ( 436 × 9585 ) / 1

LCM(436,9585) = 4179060 / 1

LCM(436,9585) = 4179060


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 5617/436, 7354/9585

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 5617/436, 7354/9585?

Answer: GCF of Numerators as per given numbers 5617/436, 7354/9585 is

GCF of Numerators i.e. for 5617,7354 is 1

LCM of denominators i.e. for 436,9585 is 4179060.

Thus, GCF of Fractions is 1/4179060.Finally, GCF of Fractions for 5617/436, 7354/9585 is 1/4179060.