Greatest Common Factor of 5001/30, 1776/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5001/30, 1776/139

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 5001/30,1776/139

Given fractions are 5001/30,1776/139

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 5001,1776

Greatest Common Factor of Numerators i.e. GCF of 5001,1776 is 3 .

LCM of Denominators means LCM of 30,139 as per the given fractions.

LCM of 30,139 is 4170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5001,1776

GCF of Fractions 5001/30,1776/139 is 3/4170

3 5001, 1776
1667, 592

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5001,1776 By Matching Biggest Common Factor Method

Greatest Common Factor of 5001,1776 By Matching Biggest Common Factor Method

Factors of 5001

List of positive integer factors of 5001 that divides 5001 without a remainder.

1,3,1667,5001

Factors of 1776

List of positive integer factors of 1776 that divides 1776 without a remainder.

1,2,3,4,6,8,12,16,24,37,48,74,111,148,222,296,444,592,888,1776

Greatest Common Factor

We found the factors 5001,1776 . The biggest common factor number is the GCF number.
So the greatest common factor 5001,1776 is 3.

Lets's calculate LCM of 30,139

Given numbers has no common factors except 1. So, there LCM is their product i.e 4170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4170

Therefore, the GCF of Fractions 5001/30,1776/139 is 3/4170

Least Common Multiple of 30,139 with GCF Formula

Least Common Multiple of 30,139 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 30,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,139) = 1

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

GCF(30,139) x common factors =1 x 1 = 1

LCM(30,139) = ( 30 × 139 ) / 1

LCM(30,139) = 4170 / 1

LCM(30,139) = 4170


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 5001/30, 1776/139

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 5001/30, 1776/139?

Answer: GCF of Numerators as per given numbers 5001/30, 1776/139 is

GCF of Numerators i.e. for 5001,1776 is 3

LCM of denominators i.e. for 30,139 is 4170.

Thus, GCF of Fractions is 3/4170.Finally, GCF of Fractions for 5001/30, 1776/139 is 3/4170.