Greatest Common Factor of 334/43, 713/3430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 334/43, 713/3430

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 334/43,713/3430

Given fractions are 334/43,713/3430

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 334,713

Greatest Common Factor of Numerators i.e. GCF of 334,713 is 1 .

LCM of Denominators means LCM of 43,3430 as per the given fractions.

LCM of 43,3430 is 147490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 334,713

GCF of Fractions 334/43,713/3430 is 1/147490

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

Greatest Common Factor of 334,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,713 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 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 334,713 . The biggest common factor number is the GCF number.
So the greatest common factor 334,713 is 1.

Lets's calculate LCM of 43,3430

Given numbers has no common factors except 1. So, there LCM is their product i.e 147490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147490

Therefore, the GCF of Fractions 334/43,713/3430 is 1/147490

Least Common Multiple of 43,3430 with GCF Formula

Least Common Multiple of 43,3430 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 43,3430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,3430) = 1

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

GCF(43,3430) x common factors =1 x 1 = 1

LCM(43,3430) = ( 43 × 3430 ) / 1

LCM(43,3430) = 147490 / 1

LCM(43,3430) = 147490


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 334/43, 713/3430

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 334/43, 713/3430?

Answer: GCF of Numerators as per given numbers 334/43, 713/3430 is

GCF of Numerators i.e. for 334,713 is 1

LCM of denominators i.e. for 43,3430 is 147490.

Thus, GCF of Fractions is 1/147490.Finally, GCF of Fractions for 334/43, 713/3430 is 1/147490.