Greatest Common Factor of 3467/680, 9714/7473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3467/680, 9714/7473

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 3467/680,9714/7473

Given fractions are 3467/680,9714/7473

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 3467,9714

Greatest Common Factor of Numerators i.e. GCF of 3467,9714 is 1 .

LCM of Denominators means LCM of 680,7473 as per the given fractions.

LCM of 680,7473 is 5081640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3467,9714

GCF of Fractions 3467/680,9714/7473 is 1/5081640

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

Greatest Common Factor of 3467,9714 By Matching Biggest Common Factor Method

Greatest Common Factor of 3467,9714 By Matching Biggest Common Factor Method

Factors of 3467

List of positive integer factors of 3467 that divides 3467 without a remainder.

1,3467

Factors of 9714

List of positive integer factors of 9714 that divides 9714 without a remainder.

1,2,3,6,1619,3238,4857,9714

Greatest Common Factor

We found the factors 3467,9714 . The biggest common factor number is the GCF number.
So the greatest common factor 3467,9714 is 1.

Lets's calculate LCM of 680,7473

Given numbers has no common factors except 1. So, there LCM is their product i.e 5081640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5081640

Therefore, the GCF of Fractions 3467/680,9714/7473 is 1/5081640

Least Common Multiple of 680,7473 with GCF Formula

Least Common Multiple of 680,7473 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 680,7473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,7473) = 1

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

GCF(680,7473) x common factors =1 x 1 = 1

LCM(680,7473) = ( 680 × 7473 ) / 1

LCM(680,7473) = 5081640 / 1

LCM(680,7473) = 5081640


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 3467/680, 9714/7473

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 3467/680, 9714/7473?

Answer: GCF of Numerators as per given numbers 3467/680, 9714/7473 is

GCF of Numerators i.e. for 3467,9714 is 1

LCM of denominators i.e. for 680,7473 is 5081640.

Thus, GCF of Fractions is 1/5081640.Finally, GCF of Fractions for 3467/680, 9714/7473 is 1/5081640.