Greatest Common Factor of 9220/17, 3735/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9220/17, 3735/413

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 9220/17,3735/413

Given fractions are 9220/17,3735/413

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 9220,3735

Greatest Common Factor of Numerators i.e. GCF of 9220,3735 is 5 .

LCM of Denominators means LCM of 17,413 as per the given fractions.

LCM of 17,413 is 7021 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9220,3735

GCF of Fractions 9220/17,3735/413 is 5/7021

5 9220, 3735
1844, 747

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9220,3735 By Matching Biggest Common Factor Method

Greatest Common Factor of 9220,3735 By Matching Biggest Common Factor Method

Factors of 9220

List of positive integer factors of 9220 that divides 9220 without a remainder.

1,2,4,5,10,20,461,922,1844,2305,4610,9220

Factors of 3735

List of positive integer factors of 3735 that divides 3735 without a remainder.

1,3,5,9,15,45,83,249,415,747,1245,3735

Greatest Common Factor

We found the factors 9220,3735 . The biggest common factor number is the GCF number.
So the greatest common factor 9220,3735 is 5.

Lets's calculate LCM of 17,413

Given numbers has no common factors except 1. So, there LCM is their product i.e 7021

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7021

Therefore, the GCF of Fractions 9220/17,3735/413 is 5/7021

Least Common Multiple of 17,413 with GCF Formula

Least Common Multiple of 17,413 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 17,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,413) = 1

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

GCF(17,413) x common factors =1 x 1 = 1

LCM(17,413) = ( 17 × 413 ) / 1

LCM(17,413) = 7021 / 1

LCM(17,413) = 7021


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 9220/17, 3735/413

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 9220/17, 3735/413?

Answer: GCF of Numerators as per given numbers 9220/17, 3735/413 is

GCF of Numerators i.e. for 9220,3735 is 5

LCM of denominators i.e. for 17,413 is 7021.

Thus, GCF of Fractions is 5/7021.Finally, GCF of Fractions for 9220/17, 3735/413 is 5/7021.