GCD of 444, 496, 692, 732 Calculator

Given Input numbers are 444, 496, 692, 732

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

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

Greatest Common Divisior

We found the divisors of 444, 496, 692, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 496, 692, 732 is 4.

Therefore, GCD of numbers 444, 496, 692, 732 is 4

Given Input Data is 444, 496, 692, 732

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 692 is 2 x 2 x 173

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

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(444, 496) = 55056

GCD(444, 496) = ( 444 x 496 ) / 55056

GCD(444, 496) = 220224 / 55056

GCD(444, 496) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 692

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

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

GCD(4, 692) = 2768 / 692

GCD(4, 692) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 732

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

LCM(4, 732) = 732

GCD(4, 732) = ( 4 x 732 ) / 732

GCD(4, 732) = 2928 / 732

GCD(4, 732) = 4

GCD of 444, 496, 692, 732 is 4

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1. What is the GCD of 444, 496, 692, 732?

GCD of 444, 496, 692, 732 is 4

2. Where do I get the detailed procedure to find GCD of 444, 496, 692, 732?

You can find a detailed procedure to find GCD of 444, 496, 692, 732 on our page.

3. How to find GCD of 444, 496, 692, 732 on a calculator?

You can find the GCD of 444, 496, 692, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.