Greatest Common Factor of 69/911, 83/779, 209/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/911, 83/779, 209/359

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 69/911,83/779,209/359

Given fractions are 69/911,83/779,209/359

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 69,83,209

Greatest Common Factor of Numerators i.e. GCF of 69,83,209 is 1 .

LCM of Denominators means LCM of 911,779,359 as per the given fractions.

LCM of 911,779,359 is 254771171 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,83,209

GCF of Fractions 69/911,83/779,209/359 is 1/254771171

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

Greatest Common Factor of 69,83,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,83,209 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 209

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

1,11,19,209

Greatest Common Factor

We found the factors 69,83,209 . The biggest common factor number is the GCF number.
So the greatest common factor 69,83,209 is 1.

Lets's calculate LCM of 911,779,359

Given numbers has no common factors except 1. So, there LCM is their product i.e 254771171

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254771171

Therefore, the GCF of Fractions 69/911,83/779,209/359 is 1/254771171

Least Common Multiple of 911,779,359 with GCF Formula

Least Common Multiple of 911,779,359 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 911,779,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,779,359) = 1

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

GCF(911,779,359) x common factors =1 x 1 = 1

LCM(911,779,359) = ( 911 × 779 × 359 ) / 1

LCM(911,779,359) = 254771171 / 1

LCM(911,779,359) = 254771171


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 69/911, 83/779, 209/359

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 69/911, 83/779, 209/359?

Answer: GCF of Numerators as per given numbers 69/911, 83/779, 209/359 is

GCF of Numerators i.e. for 69,83,209 is 1

LCM of denominators i.e. for 911,779,359 is 254771171.

Thus, GCF of Fractions is 1/254771171.Finally, GCF of Fractions for 69/911, 83/779, 209/359 is 1/254771171.