Greatest Common Factor of 9388/20, 5650/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9388/20, 5650/411

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 9388/20,5650/411

Given fractions are 9388/20,5650/411

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 9388,5650

Greatest Common Factor of Numerators i.e. GCF of 9388,5650 is 2 .

LCM of Denominators means LCM of 20,411 as per the given fractions.

LCM of 20,411 is 8220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9388,5650

GCF of Fractions 9388/20,5650/411 is 2/8220

2 9388, 5650
4694, 2825

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

Greatest Common Factor of 9388,5650 By Matching Biggest Common Factor Method

Greatest Common Factor of 9388,5650 By Matching Biggest Common Factor Method

Factors of 9388

List of positive integer factors of 9388 that divides 9388 without a remainder.

1,2,4,2347,4694,9388

Factors of 5650

List of positive integer factors of 5650 that divides 5650 without a remainder.

1,2,5,10,25,50,113,226,565,1130,2825,5650

Greatest Common Factor

We found the factors 9388,5650 . The biggest common factor number is the GCF number.
So the greatest common factor 9388,5650 is 2.

Lets's calculate LCM of 20,411

Given numbers has no common factors except 1. So, there LCM is their product i.e 8220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8220

Therefore, the GCF of Fractions 9388/20,5650/411 is 2/8220

Least Common Multiple of 20,411 with GCF Formula

Least Common Multiple of 20,411 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 20,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,411) = 1

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

GCF(20,411) x common factors =1 x 1 = 1

LCM(20,411) = ( 20 × 411 ) / 1

LCM(20,411) = 8220 / 1

LCM(20,411) = 8220


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 9388/20, 5650/411

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 9388/20, 5650/411?

Answer: GCF of Numerators as per given numbers 9388/20, 5650/411 is

GCF of Numerators i.e. for 9388,5650 is 2

LCM of denominators i.e. for 20,411 is 8220.

Thus, GCF of Fractions is 2/8220.Finally, GCF of Fractions for 9388/20, 5650/411 is 2/8220.