Greatest Common Factor of 27/466, 470/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/466, 470/803

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 27/466,470/803

Given fractions are 27/466,470/803

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 27,470

Greatest Common Factor of Numerators i.e. GCF of 27,470 is 1 .

LCM of Denominators means LCM of 466,803 as per the given fractions.

LCM of 466,803 is 374198 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,470

GCF of Fractions 27/466,470/803 is 1/374198

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

Greatest Common Factor of 27,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,470 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 27,470 . The biggest common factor number is the GCF number.
So the greatest common factor 27,470 is 1.

Lets's calculate LCM of 466,803

Given numbers has no common factors except 1. So, there LCM is their product i.e 374198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/374198

Therefore, the GCF of Fractions 27/466,470/803 is 1/374198

Least Common Multiple of 466,803 with GCF Formula

Least Common Multiple of 466,803 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 466,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,803) = 1

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

GCF(466,803) x common factors =1 x 1 = 1

LCM(466,803) = ( 466 × 803 ) / 1

LCM(466,803) = 374198 / 1

LCM(466,803) = 374198


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 27/466, 470/803

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 27/466, 470/803?

Answer: GCF of Numerators as per given numbers 27/466, 470/803 is

GCF of Numerators i.e. for 27,470 is 1

LCM of denominators i.e. for 466,803 is 374198.

Thus, GCF of Fractions is 1/374198.Finally, GCF of Fractions for 27/466, 470/803 is 1/374198.