Greatest Common Factor of 5869/820, 2007/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5869/820, 2007/915

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 5869/820,2007/915

Given fractions are 5869/820,2007/915

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 5869,2007

Greatest Common Factor of Numerators i.e. GCF of 5869,2007 is 1 .

LCM of Denominators means LCM of 820,915 as per the given fractions.

LCM of 820,915 is 150060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5869,2007

GCF of Fractions 5869/820,2007/915 is 1/150060

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5869,2007 By Matching Biggest Common Factor Method

Greatest Common Factor of 5869,2007 By Matching Biggest Common Factor Method

Factors of 5869

List of positive integer factors of 5869 that divides 5869 without a remainder.

1,5869

Factors of 2007

List of positive integer factors of 2007 that divides 2007 without a remainder.

1,3,9,223,669,2007

Greatest Common Factor

We found the factors 5869,2007 . The biggest common factor number is the GCF number.
So the greatest common factor 5869,2007 is 1.

Lets's calculate LCM of 820,915

5 820, 915
164, 183

∴ So the LCM of the given numbers is 5 x 164 x 183 = 150060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150060

Therefore, the GCF of Fractions 5869/820,2007/915 is 1/150060

Least Common Multiple of 820,915 with GCF Formula

Least Common Multiple of 820,915 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 820,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,915) = 5

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

GCF(820,915) x common factors =5 x 1 = 5

LCM(820,915) = ( 820 × 915 ) / 5

LCM(820,915) = 750300 / 5

LCM(820,915) = 150060


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 5869/820, 2007/915

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 5869/820, 2007/915?

Answer: GCF of Numerators as per given numbers 5869/820, 2007/915 is

GCF of Numerators i.e. for 5869,2007 is 1

LCM of denominators i.e. for 820,915 is 150060.

Thus, GCF of Fractions is 1/150060.Finally, GCF of Fractions for 5869/820, 2007/915 is 1/150060.