Greatest Common Factor of 189/59, 751/66, 207/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 189/59, 751/66, 207/357

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 189/59,751/66,207/357

Given fractions are 189/59,751/66,207/357

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 189,751,207

Greatest Common Factor of Numerators i.e. GCF of 189,751,207 is 1 .

LCM of Denominators means LCM of 59,66,357 as per the given fractions.

LCM of 59,66,357 is 463386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 189,751,207

GCF of Fractions 189/59,751/66,207/357 is 1/463386

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

Greatest Common Factor of 189,751,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,751,207 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 189,751,207 . The biggest common factor number is the GCF number.
So the greatest common factor 189,751,207 is 1.

Lets's calculate LCM of 59,66,357

3 59, 66, 357
59, 22, 119

∴ So the LCM of the given numbers is 3 x 59 x 22 x 119 = 463386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/463386

Therefore, the GCF of Fractions 189/59,751/66,207/357 is 1/463386

Least Common Multiple of 59,66,357 with GCF Formula

Least Common Multiple of 59,66,357 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 59,66,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,66,357) = 1

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

GCF(59,66,357) x common factors =1 x 3 = 3

LCM(59,66,357) = ( 59 × 66 × 357 ) / 3

LCM(59,66,357) = 1390158 / 3

LCM(59,66,357) = 463386


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 189/59, 751/66, 207/357

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 189/59, 751/66, 207/357?

Answer: GCF of Numerators as per given numbers 189/59, 751/66, 207/357 is

GCF of Numerators i.e. for 189,751,207 is 1

LCM of denominators i.e. for 59,66,357 is 463386.

Thus, GCF of Fractions is 1/463386.Finally, GCF of Fractions for 189/59, 751/66, 207/357 is 1/463386.