Greatest Common Factor of 3462/307, 7273/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3462/307, 7273/213

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 3462/307,7273/213

Given fractions are 3462/307,7273/213

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 3462,7273

Greatest Common Factor of Numerators i.e. GCF of 3462,7273 is 1 .

LCM of Denominators means LCM of 307,213 as per the given fractions.

LCM of 307,213 is 65391 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3462,7273

GCF of Fractions 3462/307,7273/213 is 1/65391

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

Greatest Common Factor of 3462,7273 By Matching Biggest Common Factor Method

Greatest Common Factor of 3462,7273 By Matching Biggest Common Factor Method

Factors of 3462

List of positive integer factors of 3462 that divides 3462 without a remainder.

1,2,3,6,577,1154,1731,3462

Factors of 7273

List of positive integer factors of 7273 that divides 7273 without a remainder.

1,7,1039,7273

Greatest Common Factor

We found the factors 3462,7273 . The biggest common factor number is the GCF number.
So the greatest common factor 3462,7273 is 1.

Lets's calculate LCM of 307,213

Given numbers has no common factors except 1. So, there LCM is their product i.e 65391

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65391

Therefore, the GCF of Fractions 3462/307,7273/213 is 1/65391

Least Common Multiple of 307,213 with GCF Formula

Least Common Multiple of 307,213 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 307,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,213) = 1

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

GCF(307,213) x common factors =1 x 1 = 1

LCM(307,213) = ( 307 × 213 ) / 1

LCM(307,213) = 65391 / 1

LCM(307,213) = 65391


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 3462/307, 7273/213

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 3462/307, 7273/213?

Answer: GCF of Numerators as per given numbers 3462/307, 7273/213 is

GCF of Numerators i.e. for 3462,7273 is 1

LCM of denominators i.e. for 307,213 is 65391.

Thus, GCF of Fractions is 1/65391.Finally, GCF of Fractions for 3462/307, 7273/213 is 1/65391.