Greatest Common Factor of 710/14, 520/2001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/14, 520/2001

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 710/14,520/2001

Given fractions are 710/14,520/2001

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 710,520

Greatest Common Factor of Numerators i.e. GCF of 710,520 is 10 .

LCM of Denominators means LCM of 14,2001 as per the given fractions.

LCM of 14,2001 is 28014 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,520

GCF of Fractions 710/14,520/2001 is 10/28014

2 710, 520
5 355, 260
71, 52

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

Greatest Common Factor of 710,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,520 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 710,520 . The biggest common factor number is the GCF number.
So the greatest common factor 710,520 is 10.

Lets's calculate LCM of 14,2001

Given numbers has no common factors except 1. So, there LCM is their product i.e 28014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/28014

Therefore, the GCF of Fractions 710/14,520/2001 is 10/28014

Least Common Multiple of 14,2001 with GCF Formula

Least Common Multiple of 14,2001 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 14,2001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,2001) = 1

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

GCF(14,2001) x common factors =1 x 1 = 1

LCM(14,2001) = ( 14 × 2001 ) / 1

LCM(14,2001) = 28014 / 1

LCM(14,2001) = 28014


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 710/14, 520/2001

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 710/14, 520/2001?

Answer: GCF of Numerators as per given numbers 710/14, 520/2001 is

GCF of Numerators i.e. for 710,520 is 10

LCM of denominators i.e. for 14,2001 is 28014.

Thus, GCF of Fractions is 10/28014.Finally, GCF of Fractions for 710/14, 520/2001 is 10/28014.