Greatest Common Factor of 5879/728, 8052/1045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5879/728, 8052/1045

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 5879/728,8052/1045

Given fractions are 5879/728,8052/1045

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 5879,8052

Greatest Common Factor of Numerators i.e. GCF of 5879,8052 is 1 .

LCM of Denominators means LCM of 728,1045 as per the given fractions.

LCM of 728,1045 is 760760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5879,8052

GCF of Fractions 5879/728,8052/1045 is 1/760760

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

Greatest Common Factor of 5879,8052 By Matching Biggest Common Factor Method

Greatest Common Factor of 5879,8052 By Matching Biggest Common Factor Method

Factors of 5879

List of positive integer factors of 5879 that divides 5879 without a remainder.

1,5879

Factors of 8052

List of positive integer factors of 8052 that divides 8052 without a remainder.

1,2,3,4,6,11,12,22,33,44,61,66,122,132,183,244,366,671,732,1342,2013,2684,4026,8052

Greatest Common Factor

We found the factors 5879,8052 . The biggest common factor number is the GCF number.
So the greatest common factor 5879,8052 is 1.

Lets's calculate LCM of 728,1045

Given numbers has no common factors except 1. So, there LCM is their product i.e 760760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/760760

Therefore, the GCF of Fractions 5879/728,8052/1045 is 1/760760

Least Common Multiple of 728,1045 with GCF Formula

Least Common Multiple of 728,1045 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 728,1045 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,1045) = 1

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

GCF(728,1045) x common factors =1 x 1 = 1

LCM(728,1045) = ( 728 × 1045 ) / 1

LCM(728,1045) = 760760 / 1

LCM(728,1045) = 760760


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 5879/728, 8052/1045

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 5879/728, 8052/1045?

Answer: GCF of Numerators as per given numbers 5879/728, 8052/1045 is

GCF of Numerators i.e. for 5879,8052 is 1

LCM of denominators i.e. for 728,1045 is 760760.

Thus, GCF of Fractions is 1/760760.Finally, GCF of Fractions for 5879/728, 8052/1045 is 1/760760.