GCD of 84, 968, 259, 641 Calculator

Given Input numbers are 84, 968, 259, 641

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Greatest Common Divisior

We found the divisors of 84, 968, 259, 641 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 968, 259, 641 is 1.

Therefore, GCD of numbers 84, 968, 259, 641 is 1

Given Input Data is 84, 968, 259, 641

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 259 is 7 x 37

Prime Factorization of 641 is 641

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(84, 968) = 20328

GCD(84, 968) = ( 84 x 968 ) / 20328

GCD(84, 968) = 81312 / 20328

GCD(84, 968) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 259

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

LCM(4, 259) = 1036

GCD(4, 259) = ( 4 x 259 ) / 1036

GCD(4, 259) = 1036 / 1036

GCD(4, 259) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 641

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

LCM(1, 641) = 641

GCD(1, 641) = ( 1 x 641 ) / 641

GCD(1, 641) = 641 / 641

GCD(1, 641) = 1

GCD of 84, 968, 259, 641 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 220, 293, 724
• GCD of 58, 255, 196, 509
• GCD of 28, 714, 385, 276
• GCD of 57, 203, 160, 750
• GCD of 90, 906, 886, 102

1. What is the GCD of 84, 968, 259, 641?

GCD of 84, 968, 259, 641 is 1

2. Where do I get the detailed procedure to find GCD of 84, 968, 259, 641?

You can find a detailed procedure to find GCD of 84, 968, 259, 641 on our page.

3. How to find GCD of 84, 968, 259, 641 on a calculator?

You can find the GCD of 84, 968, 259, 641 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.