Greatest Common Factor of 8851/580, 3875/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8851/580, 3875/726

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 8851/580,3875/726

Given fractions are 8851/580,3875/726

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 8851,3875

Greatest Common Factor of Numerators i.e. GCF of 8851,3875 is 1 .

LCM of Denominators means LCM of 580,726 as per the given fractions.

LCM of 580,726 is 210540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8851,3875

GCF of Fractions 8851/580,3875/726 is 1/210540

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

Greatest Common Factor of 8851,3875 By Matching Biggest Common Factor Method

Greatest Common Factor of 8851,3875 By Matching Biggest Common Factor Method

Factors of 8851

List of positive integer factors of 8851 that divides 8851 without a remainder.

1,53,167,8851

Factors of 3875

List of positive integer factors of 3875 that divides 3875 without a remainder.

1,5,25,31,125,155,775,3875

Greatest Common Factor

We found the factors 8851,3875 . The biggest common factor number is the GCF number.
So the greatest common factor 8851,3875 is 1.

Lets's calculate LCM of 580,726

2 580, 726
290, 363

∴ So the LCM of the given numbers is 2 x 290 x 363 = 210540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210540

Therefore, the GCF of Fractions 8851/580,3875/726 is 1/210540

Least Common Multiple of 580,726 with GCF Formula

Least Common Multiple of 580,726 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 580,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,726) = 2

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

GCF(580,726) x common factors =2 x 1 = 2

LCM(580,726) = ( 580 × 726 ) / 2

LCM(580,726) = 421080 / 2

LCM(580,726) = 210540


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 8851/580, 3875/726

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 8851/580, 3875/726?

Answer: GCF of Numerators as per given numbers 8851/580, 3875/726 is

GCF of Numerators i.e. for 8851,3875 is 1

LCM of denominators i.e. for 580,726 is 210540.

Thus, GCF of Fractions is 1/210540.Finally, GCF of Fractions for 8851/580, 3875/726 is 1/210540.