Greatest Common Factor of 209/397, 757/787, 100/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 209/397, 757/787, 100/334

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 209/397,757/787,100/334

Given fractions are 209/397,757/787,100/334

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 209,757,100

Greatest Common Factor of Numerators i.e. GCF of 209,757,100 is 1 .

LCM of Denominators means LCM of 397,787,334 as per the given fractions.

LCM of 397,787,334 is 104354626 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 209,757,100

GCF of Fractions 209/397,757/787,100/334 is 1/104354626

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

Greatest Common Factor of 209,757,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,757,100 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 209,757,100 . The biggest common factor number is the GCF number.
So the greatest common factor 209,757,100 is 1.

Lets's calculate LCM of 397,787,334

Given numbers has no common factors except 1. So, there LCM is their product i.e 104354626

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104354626

Therefore, the GCF of Fractions 209/397,757/787,100/334 is 1/104354626

Least Common Multiple of 397,787,334 with GCF Formula

Least Common Multiple of 397,787,334 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 397,787,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,787,334) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(397,787,334) x common factors =1 x 1 = 1

LCM(397,787,334) = ( 397 × 787 × 334 ) / 1

LCM(397,787,334) = 104354626 / 1

LCM(397,787,334) = 104354626


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 209/397, 757/787, 100/334

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 209/397, 757/787, 100/334?

Answer: GCF of Numerators as per given numbers 209/397, 757/787, 100/334 is

GCF of Numerators i.e. for 209,757,100 is 1

LCM of denominators i.e. for 397,787,334 is 104354626.

Thus, GCF of Fractions is 1/104354626.Finally, GCF of Fractions for 209/397, 757/787, 100/334 is 1/104354626.