GCD of 921, 980, 22, 678 Calculator

Given Input numbers are 921, 980, 22, 678

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 921, 980, 22, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 980, 22, 678 is 1.

Therefore, GCD of numbers 921, 980, 22, 678 is 1

Given Input Data is 921, 980, 22, 678

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 22 is 2 x 11

Prime Factorization of 678 is 2 x 3 x 113

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(921, 980) = 902580

GCD(921, 980) = ( 921 x 980 ) / 902580

GCD(921, 980) = 902580 / 902580

GCD(921, 980) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 921, 980, 22, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 753, 92, 294
• GCD of 760, 790, 13, 861
• GCD of 569, 934, 32, 470
• GCD of 131, 391, 67, 495
• GCD of 309, 110, 63, 352

1. What is the GCD of 921, 980, 22, 678?

GCD of 921, 980, 22, 678 is 1

2. Where do I get the detailed procedure to find GCD of 921, 980, 22, 678?

You can find a detailed procedure to find GCD of 921, 980, 22, 678 on our page.

3. How to find GCD of 921, 980, 22, 678 on a calculator?

You can find the GCD of 921, 980, 22, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.