Greatest Common Factor of 803/72, 323/47, 914/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 803/72, 323/47, 914/631

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 803/72,323/47,914/631

Given fractions are 803/72,323/47,914/631

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 803,323,914

Greatest Common Factor of Numerators i.e. GCF of 803,323,914 is 1 .

LCM of Denominators means LCM of 72,47,631 as per the given fractions.

LCM of 72,47,631 is 2135304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 803,323,914

GCF of Fractions 803/72,323/47,914/631 is 1/2135304

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

Greatest Common Factor of 803,323,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,323,914 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 803,323,914 . The biggest common factor number is the GCF number.
So the greatest common factor 803,323,914 is 1.

Lets's calculate LCM of 72,47,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 2135304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2135304

Therefore, the GCF of Fractions 803/72,323/47,914/631 is 1/2135304

Least Common Multiple of 72,47,631 with GCF Formula

Least Common Multiple of 72,47,631 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 72,47,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,47,631) = 1

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

GCF(72,47,631) x common factors =1 x 1 = 1

LCM(72,47,631) = ( 72 × 47 × 631 ) / 1

LCM(72,47,631) = 2135304 / 1

LCM(72,47,631) = 2135304


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 803/72, 323/47, 914/631

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 803/72, 323/47, 914/631?

Answer: GCF of Numerators as per given numbers 803/72, 323/47, 914/631 is

GCF of Numerators i.e. for 803,323,914 is 1

LCM of denominators i.e. for 72,47,631 is 2135304.

Thus, GCF of Fractions is 1/2135304.Finally, GCF of Fractions for 803/72, 323/47, 914/631 is 1/2135304.