Greatest Common Factor of 38/612, 654/990, 917/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/612, 654/990, 917/511

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 38/612,654/990,917/511

Given fractions are 38/612,654/990,917/511

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 38,654,917

Greatest Common Factor of Numerators i.e. GCF of 38,654,917 is 1 .

LCM of Denominators means LCM of 612,990,511 as per the given fractions.

LCM of 612,990,511 is 17200260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,654,917

GCF of Fractions 38/612,654/990,917/511 is 1/17200260

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 38,654,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,654,917 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 38,654,917 . The biggest common factor number is the GCF number.
So the greatest common factor 38,654,917 is 1.

Lets's calculate LCM of 612,990,511

2 612, 990, 511
3 306, 495, 511
3 102, 165, 511
34, 55, 511

∴ So the LCM of the given numbers is 2 x 3 x 3 x 34 x 55 x 511 = 17200260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17200260

Therefore, the GCF of Fractions 38/612,654/990,917/511 is 1/17200260

Least Common Multiple of 612,990,511 with GCF Formula

Least Common Multiple of 612,990,511 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 612,990,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,990,511) = 1

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

GCF(612,990,511) x common factors =1 x 18 = 18

LCM(612,990,511) = ( 612 × 990 × 511 ) / 18

LCM(612,990,511) = 309604680 / 18

LCM(612,990,511) = 17200260


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 38/612, 654/990, 917/511

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 38/612, 654/990, 917/511?

Answer: GCF of Numerators as per given numbers 38/612, 654/990, 917/511 is

GCF of Numerators i.e. for 38,654,917 is 1

LCM of denominators i.e. for 612,990,511 is 17200260.

Thus, GCF of Fractions is 1/17200260.Finally, GCF of Fractions for 38/612, 654/990, 917/511 is 1/17200260.