GCD of 345, 615, 421, 985 Calculator

Given Input numbers are 345, 615, 421, 985

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

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 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 345, 615, 421, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 615, 421, 985 is 1.

Therefore, GCD of numbers 345, 615, 421, 985 is 1

Given Input Data is 345, 615, 421, 985

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 421 is 421

Prime Factorization of 985 is 5 x 197

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(345, 615) = 14145

GCD(345, 615) = ( 345 x 615 ) / 14145

GCD(345, 615) = 212175 / 14145

GCD(345, 615) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 421

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

LCM(15, 421) = 6315

GCD(15, 421) = ( 15 x 421 ) / 6315

GCD(15, 421) = 6315 / 6315

GCD(15, 421) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

GCD of 345, 615, 421, 985 is 1

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1. What is the GCD of 345, 615, 421, 985?

GCD of 345, 615, 421, 985 is 1

2. Where do I get the detailed procedure to find GCD of 345, 615, 421, 985?

You can find a detailed procedure to find GCD of 345, 615, 421, 985 on our page.

3. How to find GCD of 345, 615, 421, 985 on a calculator?

You can find the GCD of 345, 615, 421, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.