Greatest Common Factor of 239/278, 381/973, 325/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 239/278, 381/973, 325/432

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 239/278,381/973,325/432

Given fractions are 239/278,381/973,325/432

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 239,381,325

Greatest Common Factor of Numerators i.e. GCF of 239,381,325 is 1 .

LCM of Denominators means LCM of 278,973,432 as per the given fractions.

LCM of 278,973,432 is 420336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 239,381,325

GCF of Fractions 239/278,381/973,325/432 is 1/420336

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

Greatest Common Factor of 239,381,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,381,325 By Matching Biggest Common Factor Method

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 239,381,325 . The biggest common factor number is the GCF number.
So the greatest common factor 239,381,325 is 1.

Lets's calculate LCM of 278,973,432

2 278, 973, 432
139 139, 973, 216
1, 7, 216

∴ So the LCM of the given numbers is 2 x 139 x 1 x 7 x 216 = 420336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420336

Therefore, the GCF of Fractions 239/278,381/973,325/432 is 1/420336

Least Common Multiple of 278,973,432 with GCF Formula

Least Common Multiple of 278,973,432 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 278,973,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,973,432) = 1

common factors(in case of two or more numbers have common factors) = 278

GCF(278,973,432) x common factors =1 x 278 = 278

LCM(278,973,432) = ( 278 × 973 × 432 ) / 278

LCM(278,973,432) = 116853408 / 278

LCM(278,973,432) = 420336


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 239/278, 381/973, 325/432

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 239/278, 381/973, 325/432?

Answer: GCF of Numerators as per given numbers 239/278, 381/973, 325/432 is

GCF of Numerators i.e. for 239,381,325 is 1

LCM of denominators i.e. for 278,973,432 is 420336.

Thus, GCF of Fractions is 1/420336.Finally, GCF of Fractions for 239/278, 381/973, 325/432 is 1/420336.