Greatest Common Factor of 9424/48, 9889/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9424/48, 9889/237

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 9424/48,9889/237

Given fractions are 9424/48,9889/237

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 9424,9889

Greatest Common Factor of Numerators i.e. GCF of 9424,9889 is 31 .

LCM of Denominators means LCM of 48,237 as per the given fractions.

LCM of 48,237 is 3792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9424,9889

GCF of Fractions 9424/48,9889/237 is 31/3792

31 9424, 9889
304, 319

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 9424,9889 By Matching Biggest Common Factor Method

Greatest Common Factor of 9424,9889 By Matching Biggest Common Factor Method

Factors of 9424

List of positive integer factors of 9424 that divides 9424 without a remainder.

1,2,4,8,16,19,31,38,62,76,124,152,248,304,496,589,1178,2356,4712,9424

Factors of 9889

List of positive integer factors of 9889 that divides 9889 without a remainder.

1,11,29,31,319,341,899,9889

Greatest Common Factor

We found the factors 9424,9889 . The biggest common factor number is the GCF number.
So the greatest common factor 9424,9889 is 31.

Lets's calculate LCM of 48,237

3 48, 237
16, 79

∴ So the LCM of the given numbers is 3 x 16 x 79 = 3792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/3792

Therefore, the GCF of Fractions 9424/48,9889/237 is 31/3792

Least Common Multiple of 48,237 with GCF Formula

Least Common Multiple of 48,237 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 48,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,237) = 3

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

GCF(48,237) x common factors =3 x 1 = 3

LCM(48,237) = ( 48 × 237 ) / 3

LCM(48,237) = 11376 / 3

LCM(48,237) = 3792


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 9424/48, 9889/237

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 9424/48, 9889/237?

Answer: GCF of Numerators as per given numbers 9424/48, 9889/237 is

GCF of Numerators i.e. for 9424,9889 is 31

LCM of denominators i.e. for 48,237 is 3792.

Thus, GCF of Fractions is 31/3792.Finally, GCF of Fractions for 9424/48, 9889/237 is 31/3792.