GCD of 83, 628, 977, 821 Calculator

Given Input numbers are 83, 628, 977, 821

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 977

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

1, 977

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 83, 628, 977, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 628, 977, 821 is 1.

Therefore, GCD of numbers 83, 628, 977, 821 is 1

Given Input Data is 83, 628, 977, 821

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

Prime Factorization of 83 is 83

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 977 is 977

Prime Factorization of 821 is 821

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(83, 628) = 52124

GCD(83, 628) = ( 83 x 628 ) / 52124

GCD(83, 628) = 52124 / 52124

GCD(83, 628) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 83, 628, 977, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 165, 176, 921
• GCD of 13, 926, 530, 451
• GCD of 88, 479, 506, 801
• GCD of 74, 515, 415, 124
• GCD of 32, 368, 243, 467

1. What is the GCD of 83, 628, 977, 821?

GCD of 83, 628, 977, 821 is 1

2. Where do I get the detailed procedure to find GCD of 83, 628, 977, 821?

You can find a detailed procedure to find GCD of 83, 628, 977, 821 on our page.

3. How to find GCD of 83, 628, 977, 821 on a calculator?

You can find the GCD of 83, 628, 977, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.