Greatest Common Factor of 677/17, 955/69, 211/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 677/17, 955/69, 211/159

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 677/17,955/69,211/159

Given fractions are 677/17,955/69,211/159

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 677,955,211

Greatest Common Factor of Numerators i.e. GCF of 677,955,211 is 1 .

LCM of Denominators means LCM of 17,69,159 as per the given fractions.

LCM of 17,69,159 is 62169 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 677,955,211

GCF of Fractions 677/17,955/69,211/159 is 1/62169

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

Greatest Common Factor of 677,955,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,955,211 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 677,955,211 . The biggest common factor number is the GCF number.
So the greatest common factor 677,955,211 is 1.

Lets's calculate LCM of 17,69,159

3 17, 69, 159
17, 23, 53

∴ So the LCM of the given numbers is 3 x 17 x 23 x 53 = 62169

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62169

Therefore, the GCF of Fractions 677/17,955/69,211/159 is 1/62169

Least Common Multiple of 17,69,159 with GCF Formula

Least Common Multiple of 17,69,159 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 17,69,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,69,159) = 1

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

GCF(17,69,159) x common factors =1 x 3 = 3

LCM(17,69,159) = ( 17 × 69 × 159 ) / 3

LCM(17,69,159) = 186507 / 3

LCM(17,69,159) = 62169


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 677/17, 955/69, 211/159

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 677/17, 955/69, 211/159?

Answer: GCF of Numerators as per given numbers 677/17, 955/69, 211/159 is

GCF of Numerators i.e. for 677,955,211 is 1

LCM of denominators i.e. for 17,69,159 is 62169.

Thus, GCF of Fractions is 1/62169.Finally, GCF of Fractions for 677/17, 955/69, 211/159 is 1/62169.