GCD of 698, 470, 970, 637 Calculator

Given Input numbers are 698, 470, 970, 637

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 698, 470, 970, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 470, 970, 637 is 1.

Therefore, GCD of numbers 698, 470, 970, 637 is 1

Given Input Data is 698, 470, 970, 637

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 637 is 7 x 7 x 13

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(698, 470) = 164030

GCD(698, 470) = ( 698 x 470 ) / 164030

GCD(698, 470) = 328060 / 164030

GCD(698, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 970

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

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

GCD(2, 970) = 1940 / 970

GCD(2, 970) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 637

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

LCM(2, 637) = 1274

GCD(2, 637) = ( 2 x 637 ) / 1274

GCD(2, 637) = 1274 / 1274

GCD(2, 637) = 1

GCD of 698, 470, 970, 637 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 658, 351, 837
• GCD of 965, 274, 912, 603
• GCD of 787, 789, 562, 387
• GCD of 411, 104, 213, 905
• GCD of 421, 874, 931, 789

1. What is the GCD of 698, 470, 970, 637?

GCD of 698, 470, 970, 637 is 1

2. Where do I get the detailed procedure to find GCD of 698, 470, 970, 637?

You can find a detailed procedure to find GCD of 698, 470, 970, 637 on our page.

3. How to find GCD of 698, 470, 970, 637 on a calculator?

You can find the GCD of 698, 470, 970, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.