Greatest Common Factor of 455/35, 405/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 455/35, 405/821

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 455/35,405/821

Given fractions are 455/35,405/821

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 455,405

Greatest Common Factor of Numerators i.e. GCF of 455,405 is 5 .

LCM of Denominators means LCM of 35,821 as per the given fractions.

LCM of 35,821 is 28735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 455,405

GCF of Fractions 455/35,405/821 is 5/28735

5 455, 405
91, 81

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 455,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,405 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

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 455,405 . The biggest common factor number is the GCF number.
So the greatest common factor 455,405 is 5.

Lets's calculate LCM of 35,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 28735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/28735

Therefore, the GCF of Fractions 455/35,405/821 is 5/28735

Least Common Multiple of 35,821 with GCF Formula

Least Common Multiple of 35,821 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 35,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,821) = 1

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

GCF(35,821) x common factors =1 x 1 = 1

LCM(35,821) = ( 35 × 821 ) / 1

LCM(35,821) = 28735 / 1

LCM(35,821) = 28735


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 455/35, 405/821

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 455/35, 405/821?

Answer: GCF of Numerators as per given numbers 455/35, 405/821 is

GCF of Numerators i.e. for 455,405 is 5

LCM of denominators i.e. for 35,821 is 28735.

Thus, GCF of Fractions is 5/28735.Finally, GCF of Fractions for 455/35, 405/821 is 5/28735.