GCD of 466, 736, 37, 746 Calculator

Given Input numbers are 466, 736, 37, 746

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 466, 736, 37, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 736, 37, 746 is 1.

Therefore, GCD of numbers 466, 736, 37, 746 is 1

Given Input Data is 466, 736, 37, 746

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 37 is 37

Prime Factorization of 746 is 2 x 373

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(466, 736) = 171488

GCD(466, 736) = ( 466 x 736 ) / 171488

GCD(466, 736) = 342976 / 171488

GCD(466, 736) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 466, 736, 37, 746 is 1

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1. What is the GCD of 466, 736, 37, 746?

GCD of 466, 736, 37, 746 is 1

2. Where do I get the detailed procedure to find GCD of 466, 736, 37, 746?

You can find a detailed procedure to find GCD of 466, 736, 37, 746 on our page.

3. How to find GCD of 466, 736, 37, 746 on a calculator?

You can find the GCD of 466, 736, 37, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.