GCD of 694, 196, 697, 972 Calculator

Given Input numbers are 694, 196, 697, 972

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

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 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 694, 196, 697, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 196, 697, 972 is 1.

Therefore, GCD of numbers 694, 196, 697, 972 is 1

Given Input Data is 694, 196, 697, 972

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

Prime Factorization of 694 is 2 x 347

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(694, 196) = 68012

GCD(694, 196) = ( 694 x 196 ) / 68012

GCD(694, 196) = 136024 / 68012

GCD(694, 196) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 697

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

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

GCD(2, 697) = 1394 / 1394

GCD(2, 697) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 694, 196, 697, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 433, 859, 418
• GCD of 100, 215, 421, 435
• GCD of 566, 275, 742, 872
• GCD of 862, 912, 101, 827
• GCD of 972, 371, 556, 671

1. What is the GCD of 694, 196, 697, 972?

GCD of 694, 196, 697, 972 is 1

2. Where do I get the detailed procedure to find GCD of 694, 196, 697, 972?

You can find a detailed procedure to find GCD of 694, 196, 697, 972 on our page.

3. How to find GCD of 694, 196, 697, 972 on a calculator?

You can find the GCD of 694, 196, 697, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.