Greatest Common Factor of 30/612, 758/882, 690/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/612, 758/882, 690/641

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 30/612,758/882,690/641

Given fractions are 30/612,758/882,690/641

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 30,758,690

Greatest Common Factor of Numerators i.e. GCF of 30,758,690 is 2 .

LCM of Denominators means LCM of 612,882,641 as per the given fractions.

LCM of 612,882,641 is 19222308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,758,690

GCF of Fractions 30/612,758/882,690/641 is 2/19222308

2 30, 758, 690
15, 379, 345

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

Greatest Common Factor of 30,758,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,758,690 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 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 30,758,690 . The biggest common factor number is the GCF number.
So the greatest common factor 30,758,690 is 2.

Lets's calculate LCM of 612,882,641

2 612, 882, 641
3 306, 441, 641
3 102, 147, 641
34, 49, 641

∴ So the LCM of the given numbers is 2 x 3 x 3 x 34 x 49 x 641 = 19222308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19222308

Therefore, the GCF of Fractions 30/612,758/882,690/641 is 2/19222308

Least Common Multiple of 612,882,641 with GCF Formula

Least Common Multiple of 612,882,641 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 612,882,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,882,641) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(612,882,641) x common factors =1 x 18 = 18

LCM(612,882,641) = ( 612 × 882 × 641 ) / 18

LCM(612,882,641) = 346001544 / 18

LCM(612,882,641) = 19222308


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 30/612, 758/882, 690/641

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 30/612, 758/882, 690/641?

Answer: GCF of Numerators as per given numbers 30/612, 758/882, 690/641 is

GCF of Numerators i.e. for 30,758,690 is 2

LCM of denominators i.e. for 612,882,641 is 19222308.

Thus, GCF of Fractions is 2/19222308.Finally, GCF of Fractions for 30/612, 758/882, 690/641 is 2/19222308.