Greatest Common Factor of 787/51, 414/30, 909/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 787/51, 414/30, 909/199

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 787/51,414/30,909/199

Given fractions are 787/51,414/30,909/199

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 787,414,909

Greatest Common Factor of Numerators i.e. GCF of 787,414,909 is 1 .

LCM of Denominators means LCM of 51,30,199 as per the given fractions.

LCM of 51,30,199 is 101490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 787,414,909

GCF of Fractions 787/51,414/30,909/199 is 1/101490

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

Greatest Common Factor of 787,414,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,414,909 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 787,414,909 . The biggest common factor number is the GCF number.
So the greatest common factor 787,414,909 is 1.

Lets's calculate LCM of 51,30,199

3 51, 30, 199
17, 10, 199

∴ So the LCM of the given numbers is 3 x 17 x 10 x 199 = 101490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101490

Therefore, the GCF of Fractions 787/51,414/30,909/199 is 1/101490

Least Common Multiple of 51,30,199 with GCF Formula

Least Common Multiple of 51,30,199 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 51,30,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,30,199) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,30,199) x common factors =1 x 3 = 3

LCM(51,30,199) = ( 51 × 30 × 199 ) / 3

LCM(51,30,199) = 304470 / 3

LCM(51,30,199) = 101490


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 787/51, 414/30, 909/199

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 787/51, 414/30, 909/199?

Answer: GCF of Numerators as per given numbers 787/51, 414/30, 909/199 is

GCF of Numerators i.e. for 787,414,909 is 1

LCM of denominators i.e. for 51,30,199 is 101490.

Thus, GCF of Fractions is 1/101490.Finally, GCF of Fractions for 787/51, 414/30, 909/199 is 1/101490.