Greatest Common Factor of 69/29, 92/19, 320/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/29, 92/19, 320/212

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 69/29,92/19,320/212

Given fractions are 69/29,92/19,320/212

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 69,92,320

Greatest Common Factor of Numerators i.e. GCF of 69,92,320 is 1 .

LCM of Denominators means LCM of 29,19,212 as per the given fractions.

LCM of 29,19,212 is 116812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,92,320

GCF of Fractions 69/29,92/19,320/212 is 1/116812

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

Greatest Common Factor of 69,92,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,92,320 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 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 69,92,320 . The biggest common factor number is the GCF number.
So the greatest common factor 69,92,320 is 1.

Lets's calculate LCM of 29,19,212

Given numbers has no common factors except 1. So, there LCM is their product i.e 116812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116812

Therefore, the GCF of Fractions 69/29,92/19,320/212 is 1/116812

Least Common Multiple of 29,19,212 with GCF Formula

Least Common Multiple of 29,19,212 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 29,19,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,19,212) = 1

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

GCF(29,19,212) x common factors =1 x 1 = 1

LCM(29,19,212) = ( 29 × 19 × 212 ) / 1

LCM(29,19,212) = 116812 / 1

LCM(29,19,212) = 116812


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 69/29, 92/19, 320/212

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 69/29, 92/19, 320/212?

Answer: GCF of Numerators as per given numbers 69/29, 92/19, 320/212 is

GCF of Numerators i.e. for 69,92,320 is 1

LCM of denominators i.e. for 29,19,212 is 116812.

Thus, GCF of Fractions is 1/116812.Finally, GCF of Fractions for 69/29, 92/19, 320/212 is 1/116812.