Greatest Common Factor of 813/30, 987/34, 906/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 813/30, 987/34, 906/84

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 813/30,987/34,906/84

Given fractions are 813/30,987/34,906/84

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 813,987,906

Greatest Common Factor of Numerators i.e. GCF of 813,987,906 is 3 .

LCM of Denominators means LCM of 30,34,84 as per the given fractions.

LCM of 30,34,84 is 7140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 813,987,906

GCF of Fractions 813/30,987/34,906/84 is 3/7140

3 813, 987, 906
271, 329, 302

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

Greatest Common Factor of 813,987,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,987,906 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 813,987,906 . The biggest common factor number is the GCF number.
So the greatest common factor 813,987,906 is 3.

Lets's calculate LCM of 30,34,84

2 30, 34, 84
3 15, 17, 42
5, 17, 14

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 14 = 7140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7140

Therefore, the GCF of Fractions 813/30,987/34,906/84 is 3/7140

Least Common Multiple of 30,34,84 with GCF Formula

Least Common Multiple of 30,34,84 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 30,34,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,34,84) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(30,34,84) x common factors =2 x 6 = 12

LCM(30,34,84) = ( 30 × 34 × 84 ) / 12

LCM(30,34,84) = 85680 / 12

LCM(30,34,84) = 7140


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 813/30, 987/34, 906/84

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 813/30, 987/34, 906/84?

Answer: GCF of Numerators as per given numbers 813/30, 987/34, 906/84 is

GCF of Numerators i.e. for 813,987,906 is 3

LCM of denominators i.e. for 30,34,84 is 7140.

Thus, GCF of Fractions is 3/7140.Finally, GCF of Fractions for 813/30, 987/34, 906/84 is 3/7140.