Greatest Common Factor of 814/364, 172/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 814/364, 172/598

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 814/364,172/598

Given fractions are 814/364,172/598

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 814,172

Greatest Common Factor of Numerators i.e. GCF of 814,172 is 2 .

LCM of Denominators means LCM of 364,598 as per the given fractions.

LCM of 364,598 is 8372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 814,172

GCF of Fractions 814/364,172/598 is 2/8372

2 814, 172
407, 86

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

Greatest Common Factor of 814,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,172 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 814,172 . The biggest common factor number is the GCF number.
So the greatest common factor 814,172 is 2.

Lets's calculate LCM of 364,598

2 364, 598
13 182, 299
14, 23

∴ So the LCM of the given numbers is 2 x 13 x 14 x 23 = 8372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8372

Therefore, the GCF of Fractions 814/364,172/598 is 2/8372

Least Common Multiple of 364,598 with GCF Formula

Least Common Multiple of 364,598 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 364,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,598) = 26

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

GCF(364,598) x common factors =26 x 1 = 26

LCM(364,598) = ( 364 × 598 ) / 26

LCM(364,598) = 217672 / 26

LCM(364,598) = 8372


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 814/364, 172/598

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 814/364, 172/598?

Answer: GCF of Numerators as per given numbers 814/364, 172/598 is

GCF of Numerators i.e. for 814,172 is 2

LCM of denominators i.e. for 364,598 is 8372.

Thus, GCF of Fractions is 2/8372.Finally, GCF of Fractions for 814/364, 172/598 is 2/8372.