Greatest Common Factor of 12/89, 30/40, 849/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/89, 30/40, 849/871

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 12/89,30/40,849/871

Given fractions are 12/89,30/40,849/871

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 12,30,849

Greatest Common Factor of Numerators i.e. GCF of 12,30,849 is 3 .

LCM of Denominators means LCM of 89,40,871 as per the given fractions.

LCM of 89,40,871 is 3100760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,30,849

GCF of Fractions 12/89,30/40,849/871 is 3/3100760

3 12, 30, 849
4, 10, 283

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

Greatest Common Factor of 12,30,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,30,849 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 12,30,849 . The biggest common factor number is the GCF number.
So the greatest common factor 12,30,849 is 3.

Lets's calculate LCM of 89,40,871

Given numbers has no common factors except 1. So, there LCM is their product i.e 3100760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3100760

Therefore, the GCF of Fractions 12/89,30/40,849/871 is 3/3100760

Least Common Multiple of 89,40,871 with GCF Formula

Least Common Multiple of 89,40,871 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 89,40,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,40,871) = 1

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

GCF(89,40,871) x common factors =1 x 1 = 1

LCM(89,40,871) = ( 89 × 40 × 871 ) / 1

LCM(89,40,871) = 3100760 / 1

LCM(89,40,871) = 3100760


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 12/89, 30/40, 849/871

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 12/89, 30/40, 849/871?

Answer: GCF of Numerators as per given numbers 12/89, 30/40, 849/871 is

GCF of Numerators i.e. for 12,30,849 is 3

LCM of denominators i.e. for 89,40,871 is 3100760.

Thus, GCF of Fractions is 3/3100760.Finally, GCF of Fractions for 12/89, 30/40, 849/871 is 3/3100760.