Greatest Common Factor of 477/85, 119/75, 405/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 477/85, 119/75, 405/814

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 477/85,119/75,405/814

Given fractions are 477/85,119/75,405/814

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 477,119,405

Greatest Common Factor of Numerators i.e. GCF of 477,119,405 is 1 .

LCM of Denominators means LCM of 85,75,814 as per the given fractions.

LCM of 85,75,814 is 1037850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 477,119,405

GCF of Fractions 477/85,119/75,405/814 is 1/1037850

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

Greatest Common Factor of 477,119,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,119,405 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 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 477,119,405 . The biggest common factor number is the GCF number.
So the greatest common factor 477,119,405 is 1.

Lets's calculate LCM of 85,75,814

5 85, 75, 814
17, 15, 814

∴ So the LCM of the given numbers is 5 x 17 x 15 x 814 = 1037850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1037850

Therefore, the GCF of Fractions 477/85,119/75,405/814 is 1/1037850

Least Common Multiple of 85,75,814 with GCF Formula

Least Common Multiple of 85,75,814 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 85,75,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,75,814) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,75,814) x common factors =1 x 5 = 5

LCM(85,75,814) = ( 85 × 75 × 814 ) / 5

LCM(85,75,814) = 5189250 / 5

LCM(85,75,814) = 1037850


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 477/85, 119/75, 405/814

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 477/85, 119/75, 405/814?

Answer: GCF of Numerators as per given numbers 477/85, 119/75, 405/814 is

GCF of Numerators i.e. for 477,119,405 is 1

LCM of denominators i.e. for 85,75,814 is 1037850.

Thus, GCF of Fractions is 1/1037850.Finally, GCF of Fractions for 477/85, 119/75, 405/814 is 1/1037850.