Greatest Common Factor of 80/11, 34/19, 374/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/11, 34/19, 374/323

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 80/11,34/19,374/323

Given fractions are 80/11,34/19,374/323

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 80,34,374

Greatest Common Factor of Numerators i.e. GCF of 80,34,374 is 2 .

LCM of Denominators means LCM of 11,19,323 as per the given fractions.

LCM of 11,19,323 is 3553 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,34,374

GCF of Fractions 80/11,34/19,374/323 is 2/3553

2 80, 34, 374
40, 17, 187

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 80,34,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,34,374 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 80,34,374 . The biggest common factor number is the GCF number.
So the greatest common factor 80,34,374 is 2.

Lets's calculate LCM of 11,19,323

19 11, 19, 323
11, 1, 17

∴ So the LCM of the given numbers is 19 x 11 x 1 x 17 = 3553

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3553

Therefore, the GCF of Fractions 80/11,34/19,374/323 is 2/3553

Least Common Multiple of 11,19,323 with GCF Formula

Least Common Multiple of 11,19,323 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 11,19,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,19,323) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(11,19,323) x common factors =1 x 19 = 19

LCM(11,19,323) = ( 11 × 19 × 323 ) / 19

LCM(11,19,323) = 67507 / 19

LCM(11,19,323) = 3553


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 80/11, 34/19, 374/323

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 80/11, 34/19, 374/323?

Answer: GCF of Numerators as per given numbers 80/11, 34/19, 374/323 is

GCF of Numerators i.e. for 80,34,374 is 2

LCM of denominators i.e. for 11,19,323 is 3553.

Thus, GCF of Fractions is 2/3553.Finally, GCF of Fractions for 80/11, 34/19, 374/323 is 2/3553.