Greatest Common Factor of 1664/481, 2197/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1664/481, 2197/718

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 1664/481,2197/718

Given fractions are 1664/481,2197/718

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 1664,2197

Greatest Common Factor of Numerators i.e. GCF of 1664,2197 is 13 .

LCM of Denominators means LCM of 481,718 as per the given fractions.

LCM of 481,718 is 345358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1664,2197

GCF of Fractions 1664/481,2197/718 is 13/345358

13 1664, 2197
128, 169

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1664,2197 By Matching Biggest Common Factor Method

Greatest Common Factor of 1664,2197 By Matching Biggest Common Factor Method

Factors of 1664

List of positive integer factors of 1664 that divides 1664 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664

Factors of 2197

List of positive integer factors of 2197 that divides 2197 without a remainder.

1,13,169,2197

Greatest Common Factor

We found the factors 1664,2197 . The biggest common factor number is the GCF number.
So the greatest common factor 1664,2197 is 13.

Lets's calculate LCM of 481,718

Given numbers has no common factors except 1. So, there LCM is their product i.e 345358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/345358

Therefore, the GCF of Fractions 1664/481,2197/718 is 13/345358

Least Common Multiple of 481,718 with GCF Formula

Least Common Multiple of 481,718 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 481,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,718) = 1

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

GCF(481,718) x common factors =1 x 1 = 1

LCM(481,718) = ( 481 × 718 ) / 1

LCM(481,718) = 345358 / 1

LCM(481,718) = 345358


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 1664/481, 2197/718

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 1664/481, 2197/718?

Answer: GCF of Numerators as per given numbers 1664/481, 2197/718 is

GCF of Numerators i.e. for 1664,2197 is 13

LCM of denominators i.e. for 481,718 is 345358.

Thus, GCF of Fractions is 13/345358.Finally, GCF of Fractions for 1664/481, 2197/718 is 13/345358.