Greatest Common Factor of 8577/24, 8121/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8577/24, 8121/427

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 8577/24,8121/427

Given fractions are 8577/24,8121/427

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 8577,8121

Greatest Common Factor of Numerators i.e. GCF of 8577,8121 is 3 .

LCM of Denominators means LCM of 24,427 as per the given fractions.

LCM of 24,427 is 10248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8577,8121

GCF of Fractions 8577/24,8121/427 is 3/10248

3 8577, 8121
2859, 2707

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8577,8121 By Matching Biggest Common Factor Method

Greatest Common Factor of 8577,8121 By Matching Biggest Common Factor Method

Factors of 8577

List of positive integer factors of 8577 that divides 8577 without a remainder.

1,3,9,953,2859,8577

Factors of 8121

List of positive integer factors of 8121 that divides 8121 without a remainder.

1,3,2707,8121

Greatest Common Factor

We found the factors 8577,8121 . The biggest common factor number is the GCF number.
So the greatest common factor 8577,8121 is 3.

Lets's calculate LCM of 24,427

Given numbers has no common factors except 1. So, there LCM is their product i.e 10248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10248

Therefore, the GCF of Fractions 8577/24,8121/427 is 3/10248

Least Common Multiple of 24,427 with GCF Formula

Least Common Multiple of 24,427 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 24,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,427) = 1

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

GCF(24,427) x common factors =1 x 1 = 1

LCM(24,427) = ( 24 × 427 ) / 1

LCM(24,427) = 10248 / 1

LCM(24,427) = 10248


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 8577/24, 8121/427

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 8577/24, 8121/427?

Answer: GCF of Numerators as per given numbers 8577/24, 8121/427 is

GCF of Numerators i.e. for 8577,8121 is 3

LCM of denominators i.e. for 24,427 is 10248.

Thus, GCF of Fractions is 3/10248.Finally, GCF of Fractions for 8577/24, 8121/427 is 3/10248.