Greatest Common Factor of 477/27, 849/40, 628/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 477/27, 849/40, 628/412

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 477/27,849/40,628/412

Given fractions are 477/27,849/40,628/412

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 477,849,628

Greatest Common Factor of Numerators i.e. GCF of 477,849,628 is 1 .

LCM of Denominators means LCM of 27,40,412 as per the given fractions.

LCM of 27,40,412 is 111240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 477,849,628

GCF of Fractions 477/27,849/40,628/412 is 1/111240

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

Greatest Common Factor of 477,849,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,849,628 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 477,849,628 . The biggest common factor number is the GCF number.
So the greatest common factor 477,849,628 is 1.

Lets's calculate LCM of 27,40,412

2 27, 40, 412
2 27, 20, 206
27, 10, 103

∴ So the LCM of the given numbers is 2 x 2 x 27 x 10 x 103 = 111240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111240

Therefore, the GCF of Fractions 477/27,849/40,628/412 is 1/111240

Least Common Multiple of 27,40,412 with GCF Formula

Least Common Multiple of 27,40,412 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 27,40,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,40,412) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(27,40,412) x common factors =1 x 4 = 4

LCM(27,40,412) = ( 27 × 40 × 412 ) / 4

LCM(27,40,412) = 444960 / 4

LCM(27,40,412) = 111240


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 477/27, 849/40, 628/412

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 477/27, 849/40, 628/412?

Answer: GCF of Numerators as per given numbers 477/27, 849/40, 628/412 is

GCF of Numerators i.e. for 477,849,628 is 1

LCM of denominators i.e. for 27,40,412 is 111240.

Thus, GCF of Fractions is 1/111240.Finally, GCF of Fractions for 477/27, 849/40, 628/412 is 1/111240.