Greatest Common Factor of 2428/376, 2289/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2428/376, 2289/153

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 2428/376,2289/153

Given fractions are 2428/376,2289/153

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 2428,2289

Greatest Common Factor of Numerators i.e. GCF of 2428,2289 is 1 .

LCM of Denominators means LCM of 376,153 as per the given fractions.

LCM of 376,153 is 57528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2428,2289

GCF of Fractions 2428/376,2289/153 is 1/57528

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

Greatest Common Factor of 2428,2289 By Matching Biggest Common Factor Method

Greatest Common Factor of 2428,2289 By Matching Biggest Common Factor Method

Factors of 2428

List of positive integer factors of 2428 that divides 2428 without a remainder.

1,2,4,607,1214,2428

Factors of 2289

List of positive integer factors of 2289 that divides 2289 without a remainder.

1,3,7,21,109,327,763,2289

Greatest Common Factor

We found the factors 2428,2289 . The biggest common factor number is the GCF number.
So the greatest common factor 2428,2289 is 1.

Lets's calculate LCM of 376,153

Given numbers has no common factors except 1. So, there LCM is their product i.e 57528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57528

Therefore, the GCF of Fractions 2428/376,2289/153 is 1/57528

Least Common Multiple of 376,153 with GCF Formula

Least Common Multiple of 376,153 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 376,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,153) = 1

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

GCF(376,153) x common factors =1 x 1 = 1

LCM(376,153) = ( 376 × 153 ) / 1

LCM(376,153) = 57528 / 1

LCM(376,153) = 57528


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 2428/376, 2289/153

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 2428/376, 2289/153?

Answer: GCF of Numerators as per given numbers 2428/376, 2289/153 is

GCF of Numerators i.e. for 2428,2289 is 1

LCM of denominators i.e. for 376,153 is 57528.

Thus, GCF of Fractions is 1/57528.Finally, GCF of Fractions for 2428/376, 2289/153 is 1/57528.