Greatest Common Factor of 334/734, 726/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 334/734, 726/355

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 334/734,726/355

Given fractions are 334/734,726/355

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 334,726

Greatest Common Factor of Numerators i.e. GCF of 334,726 is 2 .

LCM of Denominators means LCM of 734,355 as per the given fractions.

LCM of 734,355 is 260570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 334,726

GCF of Fractions 334/734,726/355 is 2/260570

2 334, 726
167, 363

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

Greatest Common Factor of 334,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,726 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 334,726 . The biggest common factor number is the GCF number.
So the greatest common factor 334,726 is 2.

Lets's calculate LCM of 734,355

Given numbers has no common factors except 1. So, there LCM is their product i.e 260570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/260570

Therefore, the GCF of Fractions 334/734,726/355 is 2/260570

Least Common Multiple of 734,355 with GCF Formula

Least Common Multiple of 734,355 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 734,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,355) = 1

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

GCF(734,355) x common factors =1 x 1 = 1

LCM(734,355) = ( 734 × 355 ) / 1

LCM(734,355) = 260570 / 1

LCM(734,355) = 260570


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 334/734, 726/355

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 334/734, 726/355?

Answer: GCF of Numerators as per given numbers 334/734, 726/355 is

GCF of Numerators i.e. for 334,726 is 2

LCM of denominators i.e. for 734,355 is 260570.

Thus, GCF of Fractions is 2/260570.Finally, GCF of Fractions for 334/734, 726/355 is 2/260570.