Greatest Common Factor of 5006/301, 7840/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5006/301, 7840/150

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 5006/301,7840/150

Given fractions are 5006/301,7840/150

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 5006,7840

Greatest Common Factor of Numerators i.e. GCF of 5006,7840 is 2 .

LCM of Denominators means LCM of 301,150 as per the given fractions.

LCM of 301,150 is 45150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5006,7840

GCF of Fractions 5006/301,7840/150 is 2/45150

2 5006, 7840
2503, 3920

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5006,7840 By Matching Biggest Common Factor Method

Greatest Common Factor of 5006,7840 By Matching Biggest Common Factor Method

Factors of 5006

List of positive integer factors of 5006 that divides 5006 without a remainder.

1,2,2503,5006

Factors of 7840

List of positive integer factors of 7840 that divides 7840 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,49,56,70,80,98,112,140,160,196,224,245,280,392,490,560,784,980,1120,1568,1960,3920,7840

Greatest Common Factor

We found the factors 5006,7840 . The biggest common factor number is the GCF number.
So the greatest common factor 5006,7840 is 2.

Lets's calculate LCM of 301,150

Given numbers has no common factors except 1. So, there LCM is their product i.e 45150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45150

Therefore, the GCF of Fractions 5006/301,7840/150 is 2/45150

Least Common Multiple of 301,150 with GCF Formula

Least Common Multiple of 301,150 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 301,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,150) = 1

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

GCF(301,150) x common factors =1 x 1 = 1

LCM(301,150) = ( 301 × 150 ) / 1

LCM(301,150) = 45150 / 1

LCM(301,150) = 45150


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 5006/301, 7840/150

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 5006/301, 7840/150?

Answer: GCF of Numerators as per given numbers 5006/301, 7840/150 is

GCF of Numerators i.e. for 5006,7840 is 2

LCM of denominators i.e. for 301,150 is 45150.

Thus, GCF of Fractions is 2/45150.Finally, GCF of Fractions for 5006/301, 7840/150 is 2/45150.