Greatest Common Factor of 405/955, 678/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 405/955, 678/470

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 405/955,678/470

Given fractions are 405/955,678/470

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 405,678

Greatest Common Factor of Numerators i.e. GCF of 405,678 is 3 .

LCM of Denominators means LCM of 955,470 as per the given fractions.

LCM of 955,470 is 89770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 405,678

GCF of Fractions 405/955,678/470 is 3/89770

3 405, 678
135, 226

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

Greatest Common Factor of 405,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,678 By Matching Biggest Common Factor Method

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

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 405,678 . The biggest common factor number is the GCF number.
So the greatest common factor 405,678 is 3.

Lets's calculate LCM of 955,470

5 955, 470
191, 94

∴ So the LCM of the given numbers is 5 x 191 x 94 = 89770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/89770

Therefore, the GCF of Fractions 405/955,678/470 is 3/89770

Least Common Multiple of 955,470 with GCF Formula

Least Common Multiple of 955,470 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 955,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,470) = 5

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

GCF(955,470) x common factors =5 x 1 = 5

LCM(955,470) = ( 955 × 470 ) / 5

LCM(955,470) = 448850 / 5

LCM(955,470) = 89770


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 405/955, 678/470

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 405/955, 678/470?

Answer: GCF of Numerators as per given numbers 405/955, 678/470 is

GCF of Numerators i.e. for 405,678 is 3

LCM of denominators i.e. for 955,470 is 89770.

Thus, GCF of Fractions is 3/89770.Finally, GCF of Fractions for 405/955, 678/470 is 3/89770.