Greatest Common Factor of 30/84, 510/21, 626/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/84, 510/21, 626/231

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 30/84,510/21,626/231

Given fractions are 30/84,510/21,626/231

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 30,510,626

Greatest Common Factor of Numerators i.e. GCF of 30,510,626 is 2 .

LCM of Denominators means LCM of 84,21,231 as per the given fractions.

LCM of 84,21,231 is 924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,510,626

GCF of Fractions 30/84,510/21,626/231 is 2/924

2 30, 510, 626
15, 255, 313

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 30,510,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,510,626 By Matching Biggest Common Factor Method

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 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 30,510,626 . The biggest common factor number is the GCF number.
So the greatest common factor 30,510,626 is 2.

Lets's calculate LCM of 84,21,231

3 84, 21, 231
7 28, 7, 77
4, 1, 11

∴ So the LCM of the given numbers is 3 x 7 x 4 x 1 x 11 = 924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/924

Therefore, the GCF of Fractions 30/84,510/21,626/231 is 2/924

Least Common Multiple of 84,21,231 with GCF Formula

Least Common Multiple of 84,21,231 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 84,21,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,21,231) = 21

common factors(in case of two or more numbers have common factors) = 21

GCF(84,21,231) x common factors =21 x 21 = 441

LCM(84,21,231) = ( 84 × 21 × 231 ) / 441

LCM(84,21,231) = 407484 / 441

LCM(84,21,231) = 924


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 30/84, 510/21, 626/231

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 30/84, 510/21, 626/231?

Answer: GCF of Numerators as per given numbers 30/84, 510/21, 626/231 is

GCF of Numerators i.e. for 30,510,626 is 2

LCM of denominators i.e. for 84,21,231 is 924.

Thus, GCF of Fractions is 2/924.Finally, GCF of Fractions for 30/84, 510/21, 626/231 is 2/924.