GCD of 450, 777, 58, 132 Calculator

Given Input numbers are 450, 777, 58, 132

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

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

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 450, 777, 58, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 777, 58, 132 is 1.

Therefore, GCD of numbers 450, 777, 58, 132 is 1

Given Input Data is 450, 777, 58, 132

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

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

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 58 is 2 x 29

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(450, 777) = 116550

GCD(450, 777) = ( 450 x 777 ) / 116550

GCD(450, 777) = 349650 / 116550

GCD(450, 777) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 58

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

LCM(3, 58) = 174

GCD(3, 58) = ( 3 x 58 ) / 174

GCD(3, 58) = 174 / 174

GCD(3, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 450, 777, 58, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 103, 34, 183
• GCD of 456, 951, 62, 608
• GCD of 520, 131, 75, 651
• GCD of 204, 676, 65, 246
• GCD of 942, 778, 32, 588

1. What is the GCD of 450, 777, 58, 132?

GCD of 450, 777, 58, 132 is 1

2. Where do I get the detailed procedure to find GCD of 450, 777, 58, 132?

You can find a detailed procedure to find GCD of 450, 777, 58, 132 on our page.

3. How to find GCD of 450, 777, 58, 132 on a calculator?

You can find the GCD of 450, 777, 58, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.