Greatest Common Factor of 24/174, 83/379, 214/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/174, 83/379, 214/334

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 24/174,83/379,214/334

Given fractions are 24/174,83/379,214/334

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 24,83,214

Greatest Common Factor of Numerators i.e. GCF of 24,83,214 is 1 .

LCM of Denominators means LCM of 174,379,334 as per the given fractions.

LCM of 174,379,334 is 11012982 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,83,214

GCF of Fractions 24/174,83/379,214/334 is 1/11012982

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

Greatest Common Factor of 24,83,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,83,214 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 83

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

1,83

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 24,83,214 . The biggest common factor number is the GCF number.
So the greatest common factor 24,83,214 is 1.

Lets's calculate LCM of 174,379,334

2 174, 379, 334
87, 379, 167

∴ So the LCM of the given numbers is 2 x 87 x 379 x 167 = 11012982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11012982

Therefore, the GCF of Fractions 24/174,83/379,214/334 is 1/11012982

Least Common Multiple of 174,379,334 with GCF Formula

Least Common Multiple of 174,379,334 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 174,379,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,379,334) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(174,379,334) x common factors =1 x 2 = 2

LCM(174,379,334) = ( 174 × 379 × 334 ) / 2

LCM(174,379,334) = 22025964 / 2

LCM(174,379,334) = 11012982


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 24/174, 83/379, 214/334

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 24/174, 83/379, 214/334?

Answer: GCF of Numerators as per given numbers 24/174, 83/379, 214/334 is

GCF of Numerators i.e. for 24,83,214 is 1

LCM of denominators i.e. for 174,379,334 is 11012982.

Thus, GCF of Fractions is 1/11012982.Finally, GCF of Fractions for 24/174, 83/379, 214/334 is 1/11012982.