Greatest Common Factor of 662/45, 864/11, 823/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 662/45, 864/11, 823/16

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 662/45,864/11,823/16

Given fractions are 662/45,864/11,823/16

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 662,864,823

Greatest Common Factor of Numerators i.e. GCF of 662,864,823 is 1 .

LCM of Denominators means LCM of 45,11,16 as per the given fractions.

LCM of 45,11,16 is 7920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 662,864,823

GCF of Fractions 662/45,864/11,823/16 is 1/7920

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

Greatest Common Factor of 662,864,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,864,823 By Matching Biggest Common Factor Method

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 662,864,823 . The biggest common factor number is the GCF number.
So the greatest common factor 662,864,823 is 1.

Lets's calculate LCM of 45,11,16

Given numbers has no common factors except 1. So, there LCM is their product i.e 7920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7920

Therefore, the GCF of Fractions 662/45,864/11,823/16 is 1/7920

Least Common Multiple of 45,11,16 with GCF Formula

Least Common Multiple of 45,11,16 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 45,11,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,11,16) = 1

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

GCF(45,11,16) x common factors =1 x 1 = 1

LCM(45,11,16) = ( 45 × 11 × 16 ) / 1

LCM(45,11,16) = 7920 / 1

LCM(45,11,16) = 7920


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 662/45, 864/11, 823/16

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 662/45, 864/11, 823/16?

Answer: GCF of Numerators as per given numbers 662/45, 864/11, 823/16 is

GCF of Numerators i.e. for 662,864,823 is 1

LCM of denominators i.e. for 45,11,16 is 7920.

Thus, GCF of Fractions is 1/7920.Finally, GCF of Fractions for 662/45, 864/11, 823/16 is 1/7920.