GCD of 97, 986, 615, 460 Calculator

Given Input numbers are 97, 986, 615, 460

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 97, 986, 615, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 986, 615, 460 is 1.

Therefore, GCD of numbers 97, 986, 615, 460 is 1

Given Input Data is 97, 986, 615, 460

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

Prime Factorization of 97 is 97

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 460 is 2 x 2 x 5 x 23

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(97, 986) = 95642

GCD(97, 986) = ( 97 x 986 ) / 95642

GCD(97, 986) = 95642 / 95642

GCD(97, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 615

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

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

GCD(1, 615) = 615 / 615

GCD(1, 615) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 97, 986, 615, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 655, 690, 509
• GCD of 55, 239, 439, 868
• GCD of 41, 945, 153, 970
• GCD of 36, 867, 649, 901
• GCD of 18, 253, 908, 384

1. What is the GCD of 97, 986, 615, 460?

GCD of 97, 986, 615, 460 is 1

2. Where do I get the detailed procedure to find GCD of 97, 986, 615, 460?

You can find a detailed procedure to find GCD of 97, 986, 615, 460 on our page.

3. How to find GCD of 97, 986, 615, 460 on a calculator?

You can find the GCD of 97, 986, 615, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.