Greatest Common Factor of 320/414, 1668/9169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 320/414, 1668/9169

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 320/414,1668/9169

Given fractions are 320/414,1668/9169

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 320,1668

Greatest Common Factor of Numerators i.e. GCF of 320,1668 is 4 .

LCM of Denominators means LCM of 414,9169 as per the given fractions.

LCM of 414,9169 is 3795966 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 320,1668

GCF of Fractions 320/414,1668/9169 is 4/3795966

2 320, 1668
2 160, 834
80, 417

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 320,1668 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,1668 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 1668

List of positive integer factors of 1668 that divides 1668 without a remainder.

1,2,3,4,6,12,139,278,417,556,834,1668

Greatest Common Factor

We found the factors 320,1668 . The biggest common factor number is the GCF number.
So the greatest common factor 320,1668 is 4.

Lets's calculate LCM of 414,9169

Given numbers has no common factors except 1. So, there LCM is their product i.e 3795966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3795966

Therefore, the GCF of Fractions 320/414,1668/9169 is 4/3795966

Least Common Multiple of 414,9169 with GCF Formula

Least Common Multiple of 414,9169 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 414,9169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,9169) = 1

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

GCF(414,9169) x common factors =1 x 1 = 1

LCM(414,9169) = ( 414 × 9169 ) / 1

LCM(414,9169) = 3795966 / 1

LCM(414,9169) = 3795966


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 320/414, 1668/9169

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 320/414, 1668/9169?

Answer: GCF of Numerators as per given numbers 320/414, 1668/9169 is

GCF of Numerators i.e. for 320,1668 is 4

LCM of denominators i.e. for 414,9169 is 3795966.

Thus, GCF of Fractions is 4/3795966.Finally, GCF of Fractions for 320/414, 1668/9169 is 4/3795966.