Greatest Common Factor of 8690/236, 2000/8522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8690/236, 2000/8522

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 8690/236,2000/8522

Given fractions are 8690/236,2000/8522

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 8690,2000

Greatest Common Factor of Numerators i.e. GCF of 8690,2000 is 10 .

LCM of Denominators means LCM of 236,8522 as per the given fractions.

LCM of 236,8522 is 1005596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8690,2000

GCF of Fractions 8690/236,2000/8522 is 10/1005596

2 8690, 2000
5 4345, 1000
869, 200

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 8690,2000 By Matching Biggest Common Factor Method

Greatest Common Factor of 8690,2000 By Matching Biggest Common Factor Method

Factors of 8690

List of positive integer factors of 8690 that divides 8690 without a remainder.

1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690

Factors of 2000

List of positive integer factors of 2000 that divides 2000 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,125,200,250,400,500,1000,2000

Greatest Common Factor

We found the factors 8690,2000 . The biggest common factor number is the GCF number.
So the greatest common factor 8690,2000 is 10.

Lets's calculate LCM of 236,8522

2 236, 8522
118, 4261

∴ So the LCM of the given numbers is 2 x 118 x 4261 = 1005596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1005596

Therefore, the GCF of Fractions 8690/236,2000/8522 is 10/1005596

Least Common Multiple of 236,8522 with GCF Formula

Least Common Multiple of 236,8522 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 236,8522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,8522) = 2

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

GCF(236,8522) x common factors =2 x 1 = 2

LCM(236,8522) = ( 236 × 8522 ) / 2

LCM(236,8522) = 2011192 / 2

LCM(236,8522) = 1005596


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 8690/236, 2000/8522

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 8690/236, 2000/8522?

Answer: GCF of Numerators as per given numbers 8690/236, 2000/8522 is

GCF of Numerators i.e. for 8690,2000 is 10

LCM of denominators i.e. for 236,8522 is 1005596.

Thus, GCF of Fractions is 10/1005596.Finally, GCF of Fractions for 8690/236, 2000/8522 is 10/1005596.