Greatest Common Factor of 520/705, 7390/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 520/705, 7390/892

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 520/705,7390/892

Given fractions are 520/705,7390/892

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 520,7390

Greatest Common Factor of Numerators i.e. GCF of 520,7390 is 10 .

LCM of Denominators means LCM of 705,892 as per the given fractions.

LCM of 705,892 is 628860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 520,7390

GCF of Fractions 520/705,7390/892 is 10/628860

2 520, 7390
5 260, 3695
52, 739

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

Greatest Common Factor of 520,7390 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,7390 By Matching Biggest Common Factor Method

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

Factors of 7390

List of positive integer factors of 7390 that divides 7390 without a remainder.

1,2,5,10,739,1478,3695,7390

Greatest Common Factor

We found the factors 520,7390 . The biggest common factor number is the GCF number.
So the greatest common factor 520,7390 is 10.

Lets's calculate LCM of 705,892

Given numbers has no common factors except 1. So, there LCM is their product i.e 628860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/628860

Therefore, the GCF of Fractions 520/705,7390/892 is 10/628860

Least Common Multiple of 705,892 with GCF Formula

Least Common Multiple of 705,892 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 705,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,892) = 1

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

GCF(705,892) x common factors =1 x 1 = 1

LCM(705,892) = ( 705 × 892 ) / 1

LCM(705,892) = 628860 / 1

LCM(705,892) = 628860


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 520/705, 7390/892

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 520/705, 7390/892?

Answer: GCF of Numerators as per given numbers 520/705, 7390/892 is

GCF of Numerators i.e. for 520,7390 is 10

LCM of denominators i.e. for 705,892 is 628860.

Thus, GCF of Fractions is 10/628860.Finally, GCF of Fractions for 520/705, 7390/892 is 10/628860.