Greatest Common Factor of 5889/98, 8280/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5889/98, 8280/723

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 5889/98,8280/723

Given fractions are 5889/98,8280/723

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 5889,8280

Greatest Common Factor of Numerators i.e. GCF of 5889,8280 is 3 .

LCM of Denominators means LCM of 98,723 as per the given fractions.

LCM of 98,723 is 70854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5889,8280

GCF of Fractions 5889/98,8280/723 is 3/70854

3 5889, 8280
1963, 2760

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5889,8280 By Matching Biggest Common Factor Method

Greatest Common Factor of 5889,8280 By Matching Biggest Common Factor Method

Factors of 5889

List of positive integer factors of 5889 that divides 5889 without a remainder.

1,3,13,39,151,453,1963,5889

Factors of 8280

List of positive integer factors of 8280 that divides 8280 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280

Greatest Common Factor

We found the factors 5889,8280 . The biggest common factor number is the GCF number.
So the greatest common factor 5889,8280 is 3.

Lets's calculate LCM of 98,723

Given numbers has no common factors except 1. So, there LCM is their product i.e 70854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/70854

Therefore, the GCF of Fractions 5889/98,8280/723 is 3/70854

Least Common Multiple of 98,723 with GCF Formula

Least Common Multiple of 98,723 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 98,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,723) = 1

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

GCF(98,723) x common factors =1 x 1 = 1

LCM(98,723) = ( 98 × 723 ) / 1

LCM(98,723) = 70854 / 1

LCM(98,723) = 70854


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 5889/98, 8280/723

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 5889/98, 8280/723?

Answer: GCF of Numerators as per given numbers 5889/98, 8280/723 is

GCF of Numerators i.e. for 5889,8280 is 3

LCM of denominators i.e. for 98,723 is 70854.

Thus, GCF of Fractions is 3/70854.Finally, GCF of Fractions for 5889/98, 8280/723 is 3/70854.