Greatest Common Factor of 4460/41, 9920/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4460/41, 9920/218

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 4460/41,9920/218

Given fractions are 4460/41,9920/218

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 4460,9920

Greatest Common Factor of Numerators i.e. GCF of 4460,9920 is 20 .

LCM of Denominators means LCM of 41,218 as per the given fractions.

LCM of 41,218 is 8938 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4460,9920

GCF of Fractions 4460/41,9920/218 is 20/8938

2 4460, 9920
2 2230, 4960
5 1115, 2480
223, 496

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 4460,9920 By Matching Biggest Common Factor Method

Greatest Common Factor of 4460,9920 By Matching Biggest Common Factor Method

Factors of 4460

List of positive integer factors of 4460 that divides 4460 without a remainder.

1,2,4,5,10,20,223,446,892,1115,2230,4460

Factors of 9920

List of positive integer factors of 9920 that divides 9920 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920

Greatest Common Factor

We found the factors 4460,9920 . The biggest common factor number is the GCF number.
So the greatest common factor 4460,9920 is 20.

Lets's calculate LCM of 41,218

Given numbers has no common factors except 1. So, there LCM is their product i.e 8938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/8938

Therefore, the GCF of Fractions 4460/41,9920/218 is 20/8938

Least Common Multiple of 41,218 with GCF Formula

Least Common Multiple of 41,218 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 41,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,218) = 1

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

GCF(41,218) x common factors =1 x 1 = 1

LCM(41,218) = ( 41 × 218 ) / 1

LCM(41,218) = 8938 / 1

LCM(41,218) = 8938


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 4460/41, 9920/218

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 4460/41, 9920/218?

Answer: GCF of Numerators as per given numbers 4460/41, 9920/218 is

GCF of Numerators i.e. for 4460,9920 is 20

LCM of denominators i.e. for 41,218 is 8938.

Thus, GCF of Fractions is 20/8938.Finally, GCF of Fractions for 4460/41, 9920/218 is 20/8938.