Greatest Common Factor of 2010/520, 5784/5785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2010/520, 5784/5785

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 2010/520,5784/5785

Given fractions are 2010/520,5784/5785

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 2010,5784

Greatest Common Factor of Numerators i.e. GCF of 2010,5784 is 6 .

LCM of Denominators means LCM of 520,5785 as per the given fractions.

LCM of 520,5785 is 46280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2010,5784

GCF of Fractions 2010/520,5784/5785 is 6/46280

2 2010, 5784
3 1005, 2892
335, 964

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2010,5784 By Matching Biggest Common Factor Method

Greatest Common Factor of 2010,5784 By Matching Biggest Common Factor Method

Factors of 2010

List of positive integer factors of 2010 that divides 2010 without a remainder.

1,2,3,5,6,10,15,30,67,134,201,335,402,670,1005,2010

Factors of 5784

List of positive integer factors of 5784 that divides 5784 without a remainder.

1,2,3,4,6,8,12,24,241,482,723,964,1446,1928,2892,5784

Greatest Common Factor

We found the factors 2010,5784 . The biggest common factor number is the GCF number.
So the greatest common factor 2010,5784 is 6.

Lets's calculate LCM of 520,5785

5 520, 5785
13 104, 1157
8, 89

∴ So the LCM of the given numbers is 5 x 13 x 8 x 89 = 46280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/46280

Therefore, the GCF of Fractions 2010/520,5784/5785 is 6/46280

Least Common Multiple of 520,5785 with GCF Formula

Least Common Multiple of 520,5785 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 520,5785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,5785) = 65

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

GCF(520,5785) x common factors =65 x 1 = 65

LCM(520,5785) = ( 520 × 5785 ) / 65

LCM(520,5785) = 3008200 / 65

LCM(520,5785) = 46280


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 2010/520, 5784/5785

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 2010/520, 5784/5785?

Answer: GCF of Numerators as per given numbers 2010/520, 5784/5785 is

GCF of Numerators i.e. for 2010,5784 is 6

LCM of denominators i.e. for 520,5785 is 46280.

Thus, GCF of Fractions is 6/46280.Finally, GCF of Fractions for 2010/520, 5784/5785 is 6/46280.