GCD of 860, 196, 493, 215 Calculator

Given Input numbers are 860, 196, 493, 215

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

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 860, 196, 493, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 196, 493, 215 is 1.

Therefore, GCD of numbers 860, 196, 493, 215 is 1

Given Input Data is 860, 196, 493, 215

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

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 493 is 17 x 29

Prime Factorization of 215 is 5 x 43

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(860, 196) = 42140

GCD(860, 196) = ( 860 x 196 ) / 42140

GCD(860, 196) = 168560 / 42140

GCD(860, 196) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 493

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

LCM(4, 493) = 1972

GCD(4, 493) = ( 4 x 493 ) / 1972

GCD(4, 493) = 1972 / 1972

GCD(4, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 860, 196, 493, 215 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 212, 438, 380
• GCD of 177, 587, 433, 295
• GCD of 122, 251, 123, 996
• GCD of 200, 883, 649, 960
• GCD of 120, 803, 183, 976

1. What is the GCD of 860, 196, 493, 215?

GCD of 860, 196, 493, 215 is 1

2. Where do I get the detailed procedure to find GCD of 860, 196, 493, 215?

You can find a detailed procedure to find GCD of 860, 196, 493, 215 on our page.

3. How to find GCD of 860, 196, 493, 215 on a calculator?

You can find the GCD of 860, 196, 493, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.