Greatest Common Factor of 2024/48, 3915/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2024/48, 3915/227

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 2024/48,3915/227

Given fractions are 2024/48,3915/227

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 2024,3915

Greatest Common Factor of Numerators i.e. GCF of 2024,3915 is 1 .

LCM of Denominators means LCM of 48,227 as per the given fractions.

LCM of 48,227 is 10896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2024,3915

GCF of Fractions 2024/48,3915/227 is 1/10896

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2024,3915 By Matching Biggest Common Factor Method

Greatest Common Factor of 2024,3915 By Matching Biggest Common Factor Method

Factors of 2024

List of positive integer factors of 2024 that divides 2024 without a remainder.

1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024

Factors of 3915

List of positive integer factors of 3915 that divides 3915 without a remainder.

1,3,5,9,15,27,29,45,87,135,145,261,435,783,1305,3915

Greatest Common Factor

We found the factors 2024,3915 . The biggest common factor number is the GCF number.
So the greatest common factor 2024,3915 is 1.

Lets's calculate LCM of 48,227

Given numbers has no common factors except 1. So, there LCM is their product i.e 10896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10896

Therefore, the GCF of Fractions 2024/48,3915/227 is 1/10896

Least Common Multiple of 48,227 with GCF Formula

Least Common Multiple of 48,227 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 48,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,227) = 1

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

GCF(48,227) x common factors =1 x 1 = 1

LCM(48,227) = ( 48 × 227 ) / 1

LCM(48,227) = 10896 / 1

LCM(48,227) = 10896


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 2024/48, 3915/227

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 2024/48, 3915/227?

Answer: GCF of Numerators as per given numbers 2024/48, 3915/227 is

GCF of Numerators i.e. for 2024,3915 is 1

LCM of denominators i.e. for 48,227 is 10896.

Thus, GCF of Fractions is 1/10896.Finally, GCF of Fractions for 2024/48, 3915/227 is 1/10896.