Greatest Common Factor of 5990/762, 8764/6067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5990/762, 8764/6067

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 5990/762,8764/6067

Given fractions are 5990/762,8764/6067

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 5990,8764

Greatest Common Factor of Numerators i.e. GCF of 5990,8764 is 2 .

LCM of Denominators means LCM of 762,6067 as per the given fractions.

LCM of 762,6067 is 4623054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5990,8764

GCF of Fractions 5990/762,8764/6067 is 2/4623054

2 5990, 8764
2995, 4382

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5990,8764 By Matching Biggest Common Factor Method

Greatest Common Factor of 5990,8764 By Matching Biggest Common Factor Method

Factors of 5990

List of positive integer factors of 5990 that divides 5990 without a remainder.

1,2,5,10,599,1198,2995,5990

Factors of 8764

List of positive integer factors of 8764 that divides 8764 without a remainder.

1,2,4,7,14,28,313,626,1252,2191,4382,8764

Greatest Common Factor

We found the factors 5990,8764 . The biggest common factor number is the GCF number.
So the greatest common factor 5990,8764 is 2.

Lets's calculate LCM of 762,6067

Given numbers has no common factors except 1. So, there LCM is their product i.e 4623054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4623054

Therefore, the GCF of Fractions 5990/762,8764/6067 is 2/4623054

Least Common Multiple of 762,6067 with GCF Formula

Least Common Multiple of 762,6067 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 762,6067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,6067) = 1

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

GCF(762,6067) x common factors =1 x 1 = 1

LCM(762,6067) = ( 762 × 6067 ) / 1

LCM(762,6067) = 4623054 / 1

LCM(762,6067) = 4623054


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 5990/762, 8764/6067

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 5990/762, 8764/6067?

Answer: GCF of Numerators as per given numbers 5990/762, 8764/6067 is

GCF of Numerators i.e. for 5990,8764 is 2

LCM of denominators i.e. for 762,6067 is 4623054.

Thus, GCF of Fractions is 2/4623054.Finally, GCF of Fractions for 5990/762, 8764/6067 is 2/4623054.