Greatest Common Factor of 875/36, 9000/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 875/36, 9000/586

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 875/36,9000/586

Given fractions are 875/36,9000/586

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 875,9000

Greatest Common Factor of Numerators i.e. GCF of 875,9000 is 125 .

LCM of Denominators means LCM of 36,586 as per the given fractions.

LCM of 36,586 is 10548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 875,9000

GCF of Fractions 875/36,9000/586 is 125/10548

5 875, 9000
5 175, 1800
5 35, 360
7, 72

∴ So the GCF of the given numbers is 5 x 5 x 5 = 125

Greatest Common Factor of 875,9000 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,9000 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 9000

List of positive integer factors of 9000 that divides 9000 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,125,150,180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,1800,2250,3000,4500,9000

Greatest Common Factor

We found the factors 875,9000 . The biggest common factor number is the GCF number.
So the greatest common factor 875,9000 is 125.

Lets's calculate LCM of 36,586

2 36, 586
18, 293

∴ So the LCM of the given numbers is 2 x 18 x 293 = 10548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 125/10548

Therefore, the GCF of Fractions 875/36,9000/586 is 125/10548

Least Common Multiple of 36,586 with GCF Formula

Least Common Multiple of 36,586 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 36,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,586) = 2

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

GCF(36,586) x common factors =2 x 1 = 2

LCM(36,586) = ( 36 × 586 ) / 2

LCM(36,586) = 21096 / 2

LCM(36,586) = 10548


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 875/36, 9000/586

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 875/36, 9000/586?

Answer: GCF of Numerators as per given numbers 875/36, 9000/586 is

GCF of Numerators i.e. for 875,9000 is 125

LCM of denominators i.e. for 36,586 is 10548.

Thus, GCF of Fractions is 125/10548.Finally, GCF of Fractions for 875/36, 9000/586 is 125/10548.