GCD of 456, 732, 152 Calculator

Given Input numbers are 456, 732, 152

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 456, 732, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 732, 152 is 4.

Therefore, GCD of numbers 456, 732, 152 is 4

Given Input Data is 456, 732, 152

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(456, 732) = 27816

GCD(456, 732) = ( 456 x 732 ) / 27816

GCD(456, 732) = 333792 / 27816

GCD(456, 732) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 152

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

LCM(12, 152) = 456

GCD(12, 152) = ( 12 x 152 ) / 456

GCD(12, 152) = 1824 / 456

GCD(12, 152) = 4

GCD of 456, 732, 152 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 332, 750
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• GCD of 120, 935, 481
• GCD of 958, 141, 195

1. What is the GCD of 456, 732, 152?

GCD of 456, 732, 152 is 4

2. Where do I get the detailed procedure to find GCD of 456, 732, 152?

You can find a detailed procedure to find GCD of 456, 732, 152 on our page.

3. How to find GCD of 456, 732, 152 on a calculator?

You can find the GCD of 456, 732, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.