GCD of 21, 892, 994, 977 Calculator

Given Input numbers are 21, 892, 994, 977

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

Divisors of 21

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

1, 3, 7, 21

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 21, 892, 994, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 892, 994, 977 is 1.

Therefore, GCD of numbers 21, 892, 994, 977 is 1

Given Input Data is 21, 892, 994, 977

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 977 is 977

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(21, 892) = 18732

GCD(21, 892) = ( 21 x 892 ) / 18732

GCD(21, 892) = 18732 / 18732

GCD(21, 892) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 21, 892, 994, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 812, 890, 282
• GCD of 61, 690, 948, 327
• GCD of 38, 984, 610, 987
• GCD of 37, 569, 184, 781
• GCD of 71, 674, 959, 843

1. What is the GCD of 21, 892, 994, 977?

GCD of 21, 892, 994, 977 is 1

2. Where do I get the detailed procedure to find GCD of 21, 892, 994, 977?

You can find a detailed procedure to find GCD of 21, 892, 994, 977 on our page.

3. How to find GCD of 21, 892, 994, 977 on a calculator?

You can find the GCD of 21, 892, 994, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.