Greatest Common Factor of 823/12, 804/63, 314/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 823/12, 804/63, 314/36

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 823/12,804/63,314/36

Given fractions are 823/12,804/63,314/36

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 823,804,314

Greatest Common Factor of Numerators i.e. GCF of 823,804,314 is 1 .

LCM of Denominators means LCM of 12,63,36 as per the given fractions.

LCM of 12,63,36 is 252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 823,804,314

GCF of Fractions 823/12,804/63,314/36 is 1/252

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

Greatest Common Factor of 823,804,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,804,314 By Matching Biggest Common Factor Method

Factors of 823

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

1,823

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 823,804,314 . The biggest common factor number is the GCF number.
So the greatest common factor 823,804,314 is 1.

Lets's calculate LCM of 12,63,36

2 12, 63, 36
2 6, 63, 18
3 3, 63, 9
3 1, 21, 3
1, 7, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 7 x 1 = 252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252

Therefore, the GCF of Fractions 823/12,804/63,314/36 is 1/252

Least Common Multiple of 12,63,36 with GCF Formula

Least Common Multiple of 12,63,36 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 12,63,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,63,36) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(12,63,36) x common factors =3 x 36 = 108

LCM(12,63,36) = ( 12 × 63 × 36 ) / 108

LCM(12,63,36) = 27216 / 108

LCM(12,63,36) = 252


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 823/12, 804/63, 314/36

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 823/12, 804/63, 314/36?

Answer: GCF of Numerators as per given numbers 823/12, 804/63, 314/36 is

GCF of Numerators i.e. for 823,804,314 is 1

LCM of denominators i.e. for 12,63,36 is 252.

Thus, GCF of Fractions is 1/252.Finally, GCF of Fractions for 823/12, 804/63, 314/36 is 1/252.