Greatest Common Factor of 180/249, 885/539, 385/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 180/249, 885/539, 385/390

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 180/249,885/539,385/390

Given fractions are 180/249,885/539,385/390

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 180,885,385

Greatest Common Factor of Numerators i.e. GCF of 180,885,385 is 5 .

LCM of Denominators means LCM of 249,539,390 as per the given fractions.

LCM of 249,539,390 is 17447430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 180,885,385

GCF of Fractions 180/249,885/539,385/390 is 5/17447430

5 180, 885, 385
36, 177, 77

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 180,885,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,885,385 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 180,885,385 . The biggest common factor number is the GCF number.
So the greatest common factor 180,885,385 is 5.

Lets's calculate LCM of 249,539,390

3 249, 539, 390
83, 539, 130

∴ So the LCM of the given numbers is 3 x 83 x 539 x 130 = 17447430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/17447430

Therefore, the GCF of Fractions 180/249,885/539,385/390 is 5/17447430

Least Common Multiple of 249,539,390 with GCF Formula

Least Common Multiple of 249,539,390 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 249,539,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,539,390) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(249,539,390) x common factors =1 x 3 = 3

LCM(249,539,390) = ( 249 × 539 × 390 ) / 3

LCM(249,539,390) = 52342290 / 3

LCM(249,539,390) = 17447430


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 180/249, 885/539, 385/390

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 180/249, 885/539, 385/390?

Answer: GCF of Numerators as per given numbers 180/249, 885/539, 385/390 is

GCF of Numerators i.e. for 180,885,385 is 5

LCM of denominators i.e. for 249,539,390 is 17447430.

Thus, GCF of Fractions is 5/17447430.Finally, GCF of Fractions for 180/249, 885/539, 385/390 is 5/17447430.