GCD of 37, 253, 642, 196 Calculator

Given Input numbers are 37, 253, 642, 196

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

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

Greatest Common Divisior

We found the divisors of 37, 253, 642, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 253, 642, 196 is 1.

Therefore, GCD of numbers 37, 253, 642, 196 is 1

Given Input Data is 37, 253, 642, 196

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

Prime Factorization of 37 is 37

Prime Factorization of 253 is 11 x 23

Prime Factorization of 642 is 2 x 3 x 107

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

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(37, 253) = 9361

GCD(37, 253) = ( 37 x 253 ) / 9361

GCD(37, 253) = 9361 / 9361

GCD(37, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 37, 253, 642, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 796, 270, 257
• GCD of 72, 191, 361, 677
• GCD of 91, 351, 170, 645
• GCD of 87, 254, 379, 969
• GCD of 48, 217, 835, 783

1. What is the GCD of 37, 253, 642, 196?

GCD of 37, 253, 642, 196 is 1

2. Where do I get the detailed procedure to find GCD of 37, 253, 642, 196?

You can find a detailed procedure to find GCD of 37, 253, 642, 196 on our page.

3. How to find GCD of 37, 253, 642, 196 on a calculator?

You can find the GCD of 37, 253, 642, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.