Greatest Common Factor of 30/714, 5740/3001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/714, 5740/3001

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 30/714,5740/3001

Given fractions are 30/714,5740/3001

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 30,5740

Greatest Common Factor of Numerators i.e. GCF of 30,5740 is 10 .

LCM of Denominators means LCM of 714,3001 as per the given fractions.

LCM of 714,3001 is 2142714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,5740

GCF of Fractions 30/714,5740/3001 is 10/2142714

2 30, 5740
5 15, 2870
3, 574

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 30,5740 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,5740 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 5740

List of positive integer factors of 5740 that divides 5740 without a remainder.

1,2,4,5,7,10,14,20,28,35,41,70,82,140,164,205,287,410,574,820,1148,1435,2870,5740

Greatest Common Factor

We found the factors 30,5740 . The biggest common factor number is the GCF number.
So the greatest common factor 30,5740 is 10.

Lets's calculate LCM of 714,3001

Given numbers has no common factors except 1. So, there LCM is their product i.e 2142714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2142714

Therefore, the GCF of Fractions 30/714,5740/3001 is 10/2142714

Least Common Multiple of 714,3001 with GCF Formula

Least Common Multiple of 714,3001 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 714,3001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,3001) = 1

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

GCF(714,3001) x common factors =1 x 1 = 1

LCM(714,3001) = ( 714 × 3001 ) / 1

LCM(714,3001) = 2142714 / 1

LCM(714,3001) = 2142714


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 30/714, 5740/3001

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 30/714, 5740/3001?

Answer: GCF of Numerators as per given numbers 30/714, 5740/3001 is

GCF of Numerators i.e. for 30,5740 is 10

LCM of denominators i.e. for 714,3001 is 2142714.

Thus, GCF of Fractions is 10/2142714.Finally, GCF of Fractions for 30/714, 5740/3001 is 10/2142714.