GCD of 732, 162, 45, 765 Calculator

Given Input numbers are 732, 162, 45, 765

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 732, 162, 45, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 162, 45, 765 is 3.

Therefore, GCD of numbers 732, 162, 45, 765 is 3

Given Input Data is 732, 162, 45, 765

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 765 is 3 x 3 x 5 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(732, 162) = 19764

GCD(732, 162) = ( 732 x 162 ) / 19764

GCD(732, 162) = 118584 / 19764

GCD(732, 162) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 45

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

LCM(6, 45) = 90

GCD(6, 45) = ( 6 x 45 ) / 90

GCD(6, 45) = 270 / 90

GCD(6, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 765

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

LCM(3, 765) = 765

GCD(3, 765) = ( 3 x 765 ) / 765

GCD(3, 765) = 2295 / 765

GCD(3, 765) = 3

GCD of 732, 162, 45, 765 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 917, 69, 178
• GCD of 254, 148, 81, 871
• GCD of 133, 771, 34, 753
• GCD of 143, 706, 28, 444
• GCD of 471, 473, 73, 575

1. What is the GCD of 732, 162, 45, 765?

GCD of 732, 162, 45, 765 is 3

2. Where do I get the detailed procedure to find GCD of 732, 162, 45, 765?

You can find a detailed procedure to find GCD of 732, 162, 45, 765 on our page.

3. How to find GCD of 732, 162, 45, 765 on a calculator?

You can find the GCD of 732, 162, 45, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.