Greatest Common Factor of 8968/48, 8594/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8968/48, 8594/623

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 8968/48,8594/623

Given fractions are 8968/48,8594/623

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 8968,8594

Greatest Common Factor of Numerators i.e. GCF of 8968,8594 is 2 .

LCM of Denominators means LCM of 48,623 as per the given fractions.

LCM of 48,623 is 29904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8968,8594

GCF of Fractions 8968/48,8594/623 is 2/29904

2 8968, 8594
4484, 4297

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

Greatest Common Factor of 8968,8594 By Matching Biggest Common Factor Method

Greatest Common Factor of 8968,8594 By Matching Biggest Common Factor Method

Factors of 8968

List of positive integer factors of 8968 that divides 8968 without a remainder.

1,2,4,8,19,38,59,76,118,152,236,472,1121,2242,4484,8968

Factors of 8594

List of positive integer factors of 8594 that divides 8594 without a remainder.

1,2,4297,8594

Greatest Common Factor

We found the factors 8968,8594 . The biggest common factor number is the GCF number.
So the greatest common factor 8968,8594 is 2.

Lets's calculate LCM of 48,623

Given numbers has no common factors except 1. So, there LCM is their product i.e 29904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29904

Therefore, the GCF of Fractions 8968/48,8594/623 is 2/29904

Least Common Multiple of 48,623 with GCF Formula

Least Common Multiple of 48,623 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 48,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,623) = 1

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

GCF(48,623) x common factors =1 x 1 = 1

LCM(48,623) = ( 48 × 623 ) / 1

LCM(48,623) = 29904 / 1

LCM(48,623) = 29904


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 8968/48, 8594/623

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 8968/48, 8594/623?

Answer: GCF of Numerators as per given numbers 8968/48, 8594/623 is

GCF of Numerators i.e. for 8968,8594 is 2

LCM of denominators i.e. for 48,623 is 29904.

Thus, GCF of Fractions is 2/29904.Finally, GCF of Fractions for 8968/48, 8594/623 is 2/29904.