Greatest Common Factor of 326/45, 598/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 326/45, 598/726

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 326/45,598/726

Given fractions are 326/45,598/726

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 326,598

Greatest Common Factor of Numerators i.e. GCF of 326,598 is 2 .

LCM of Denominators means LCM of 45,726 as per the given fractions.

LCM of 45,726 is 10890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 326,598

GCF of Fractions 326/45,598/726 is 2/10890

2 326, 598
163, 299

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

Greatest Common Factor of 326,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,598 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 326,598 . The biggest common factor number is the GCF number.
So the greatest common factor 326,598 is 2.

Lets's calculate LCM of 45,726

3 45, 726
15, 242

∴ So the LCM of the given numbers is 3 x 15 x 242 = 10890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10890

Therefore, the GCF of Fractions 326/45,598/726 is 2/10890

Least Common Multiple of 45,726 with GCF Formula

Least Common Multiple of 45,726 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 45,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,726) = 3

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

GCF(45,726) x common factors =3 x 1 = 3

LCM(45,726) = ( 45 × 726 ) / 3

LCM(45,726) = 32670 / 3

LCM(45,726) = 10890


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 326/45, 598/726

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 326/45, 598/726?

Answer: GCF of Numerators as per given numbers 326/45, 598/726 is

GCF of Numerators i.e. for 326,598 is 2

LCM of denominators i.e. for 45,726 is 10890.

Thus, GCF of Fractions is 2/10890.Finally, GCF of Fractions for 326/45, 598/726 is 2/10890.