Greatest Common Factor of 8012/437, 8734/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8012/437, 8734/739

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 8012/437,8734/739

Given fractions are 8012/437,8734/739

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 8012,8734

Greatest Common Factor of Numerators i.e. GCF of 8012,8734 is 2 .

LCM of Denominators means LCM of 437,739 as per the given fractions.

LCM of 437,739 is 322943 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8012,8734

GCF of Fractions 8012/437,8734/739 is 2/322943

2 8012, 8734
4006, 4367

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

Greatest Common Factor of 8012,8734 By Matching Biggest Common Factor Method

Greatest Common Factor of 8012,8734 By Matching Biggest Common Factor Method

Factors of 8012

List of positive integer factors of 8012 that divides 8012 without a remainder.

1,2,4,2003,4006,8012

Factors of 8734

List of positive integer factors of 8734 that divides 8734 without a remainder.

1,2,11,22,397,794,4367,8734

Greatest Common Factor

We found the factors 8012,8734 . The biggest common factor number is the GCF number.
So the greatest common factor 8012,8734 is 2.

Lets's calculate LCM of 437,739

Given numbers has no common factors except 1. So, there LCM is their product i.e 322943

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/322943

Therefore, the GCF of Fractions 8012/437,8734/739 is 2/322943

Least Common Multiple of 437,739 with GCF Formula

Least Common Multiple of 437,739 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 437,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,739) = 1

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

GCF(437,739) x common factors =1 x 1 = 1

LCM(437,739) = ( 437 × 739 ) / 1

LCM(437,739) = 322943 / 1

LCM(437,739) = 322943


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 8012/437, 8734/739

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 8012/437, 8734/739?

Answer: GCF of Numerators as per given numbers 8012/437, 8734/739 is

GCF of Numerators i.e. for 8012,8734 is 2

LCM of denominators i.e. for 437,739 is 322943.

Thus, GCF of Fractions is 2/322943.Finally, GCF of Fractions for 8012/437, 8734/739 is 2/322943.