Greatest Common Factor of 804/463, 9351/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 804/463, 9351/155

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 804/463,9351/155

Given fractions are 804/463,9351/155

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 804,9351

Greatest Common Factor of Numerators i.e. GCF of 804,9351 is 3 .

LCM of Denominators means LCM of 463,155 as per the given fractions.

LCM of 463,155 is 71765 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 804,9351

GCF of Fractions 804/463,9351/155 is 3/71765

3 804, 9351
268, 3117

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 804,9351 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,9351 By Matching Biggest Common Factor Method

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 9351

List of positive integer factors of 9351 that divides 9351 without a remainder.

1,3,9,1039,3117,9351

Greatest Common Factor

We found the factors 804,9351 . The biggest common factor number is the GCF number.
So the greatest common factor 804,9351 is 3.

Lets's calculate LCM of 463,155

Given numbers has no common factors except 1. So, there LCM is their product i.e 71765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/71765

Therefore, the GCF of Fractions 804/463,9351/155 is 3/71765

Least Common Multiple of 463,155 with GCF Formula

Least Common Multiple of 463,155 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 463,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,155) = 1

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

GCF(463,155) x common factors =1 x 1 = 1

LCM(463,155) = ( 463 × 155 ) / 1

LCM(463,155) = 71765 / 1

LCM(463,155) = 71765


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 804/463, 9351/155

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 804/463, 9351/155?

Answer: GCF of Numerators as per given numbers 804/463, 9351/155 is

GCF of Numerators i.e. for 804,9351 is 3

LCM of denominators i.e. for 463,155 is 71765.

Thus, GCF of Fractions is 3/71765.Finally, GCF of Fractions for 804/463, 9351/155 is 3/71765.