Greatest Common Factor of 180/60, 781/14, 751/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 180/60, 781/14, 751/139

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 180/60,781/14,751/139

Given fractions are 180/60,781/14,751/139

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 180,781,751

Greatest Common Factor of Numerators i.e. GCF of 180,781,751 is 1 .

LCM of Denominators means LCM of 60,14,139 as per the given fractions.

LCM of 60,14,139 is 58380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 180,781,751

GCF of Fractions 180/60,781/14,751/139 is 1/58380

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

Greatest Common Factor of 180,781,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,781,751 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 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 180,781,751 . The biggest common factor number is the GCF number.
So the greatest common factor 180,781,751 is 1.

Lets's calculate LCM of 60,14,139

2 60, 14, 139
30, 7, 139

∴ So the LCM of the given numbers is 2 x 30 x 7 x 139 = 58380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58380

Therefore, the GCF of Fractions 180/60,781/14,751/139 is 1/58380

Least Common Multiple of 60,14,139 with GCF Formula

Least Common Multiple of 60,14,139 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 60,14,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,14,139) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(60,14,139) x common factors =1 x 2 = 2

LCM(60,14,139) = ( 60 × 14 × 139 ) / 2

LCM(60,14,139) = 116760 / 2

LCM(60,14,139) = 58380


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 180/60, 781/14, 751/139

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 180/60, 781/14, 751/139?

Answer: GCF of Numerators as per given numbers 180/60, 781/14, 751/139 is

GCF of Numerators i.e. for 180,781,751 is 1

LCM of denominators i.e. for 60,14,139 is 58380.

Thus, GCF of Fractions is 1/58380.Finally, GCF of Fractions for 180/60, 781/14, 751/139 is 1/58380.