GCD of 612, 977, 831, 450 Calculator

Given Input numbers are 612, 977, 831, 450

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 977

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

1, 977

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 612, 977, 831, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 977, 831, 450 is 1.

Therefore, GCD of numbers 612, 977, 831, 450 is 1

Given Input Data is 612, 977, 831, 450

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 977 is 977

Prime Factorization of 831 is 3 x 277

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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(612, 977) = 597924

GCD(612, 977) = ( 612 x 977 ) / 597924

GCD(612, 977) = 597924 / 597924

GCD(612, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 612, 977, 831, 450 is 1

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1. What is the GCD of 612, 977, 831, 450?

GCD of 612, 977, 831, 450 is 1

2. Where do I get the detailed procedure to find GCD of 612, 977, 831, 450?

You can find a detailed procedure to find GCD of 612, 977, 831, 450 on our page.

3. How to find GCD of 612, 977, 831, 450 on a calculator?

You can find the GCD of 612, 977, 831, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.