GCD of 661, 746, 21, 868 Calculator

Given Input numbers are 661, 746, 21, 868

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

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 661, 746, 21, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 661, 746, 21, 868 is 1.

Therefore, GCD of numbers 661, 746, 21, 868 is 1

Given Input Data is 661, 746, 21, 868

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

Prime Factorization of 661 is 661

Prime Factorization of 746 is 2 x 373

Prime Factorization of 21 is 3 x 7

Prime Factorization of 868 is 2 x 2 x 7 x 31

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(661, 746) = 493106

GCD(661, 746) = ( 661 x 746 ) / 493106

GCD(661, 746) = 493106 / 493106

GCD(661, 746) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 661, 746, 21, 868 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 111, 78, 537
• GCD of 339, 634, 61, 159
• GCD of 969, 494, 99, 382
• GCD of 709, 603, 75, 216
• GCD of 360, 396, 88, 255

1. What is the GCD of 661, 746, 21, 868?

GCD of 661, 746, 21, 868 is 1

2. Where do I get the detailed procedure to find GCD of 661, 746, 21, 868?

You can find a detailed procedure to find GCD of 661, 746, 21, 868 on our page.

3. How to find GCD of 661, 746, 21, 868 on a calculator?

You can find the GCD of 661, 746, 21, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.