GCD of 891, 615, 684, 341 Calculator

Given Input numbers are 891, 615, 684, 341

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 891, 615, 684, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 615, 684, 341 is 1.

Therefore, GCD of numbers 891, 615, 684, 341 is 1

Given Input Data is 891, 615, 684, 341

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 341 is 11 x 31

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(891, 615) = 182655

GCD(891, 615) = ( 891 x 615 ) / 182655

GCD(891, 615) = 547965 / 182655

GCD(891, 615) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 684

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

GCD(3, 684) = 2052 / 684

GCD(3, 684) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 341

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 341) = 1023

GCD(3, 341) = ( 3 x 341 ) / 1023

GCD(3, 341) = 1023 / 1023

GCD(3, 341) = 1

GCD of 891, 615, 684, 341 is 1

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1. What is the GCD of 891, 615, 684, 341?

GCD of 891, 615, 684, 341 is 1

2. Where do I get the detailed procedure to find GCD of 891, 615, 684, 341?

You can find a detailed procedure to find GCD of 891, 615, 684, 341 on our page.

3. How to find GCD of 891, 615, 684, 341 on a calculator?

You can find the GCD of 891, 615, 684, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.