Greatest Common Factor of 734/731, 765/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 734/731, 765/599

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 734/731,765/599

Given fractions are 734/731,765/599

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 734,765

Greatest Common Factor of Numerators i.e. GCF of 734,765 is 1 .

LCM of Denominators means LCM of 731,599 as per the given fractions.

LCM of 731,599 is 437869 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 734,765

GCF of Fractions 734/731,765/599 is 1/437869

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

Greatest Common Factor of 734,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,765 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 734,765 . The biggest common factor number is the GCF number.
So the greatest common factor 734,765 is 1.

Lets's calculate LCM of 731,599

Given numbers has no common factors except 1. So, there LCM is their product i.e 437869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/437869

Therefore, the GCF of Fractions 734/731,765/599 is 1/437869

Least Common Multiple of 731,599 with GCF Formula

Least Common Multiple of 731,599 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 731,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,599) = 1

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

GCF(731,599) x common factors =1 x 1 = 1

LCM(731,599) = ( 731 × 599 ) / 1

LCM(731,599) = 437869 / 1

LCM(731,599) = 437869


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 734/731, 765/599

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 734/731, 765/599?

Answer: GCF of Numerators as per given numbers 734/731, 765/599 is

GCF of Numerators i.e. for 734,765 is 1

LCM of denominators i.e. for 731,599 is 437869.

Thus, GCF of Fractions is 1/437869.Finally, GCF of Fractions for 734/731, 765/599 is 1/437869.