GCD of 738, 412, 43, 970 Calculator

Given Input numbers are 738, 412, 43, 970

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 738, 412, 43, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 412, 43, 970 is 1.

Therefore, GCD of numbers 738, 412, 43, 970 is 1

Given Input Data is 738, 412, 43, 970

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 43 is 43

Prime Factorization of 970 is 2 x 5 x 97

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(738, 412) = 152028

GCD(738, 412) = ( 738 x 412 ) / 152028

GCD(738, 412) = 304056 / 152028

GCD(738, 412) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 43

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

LCM(2, 43) = 86

GCD(2, 43) = ( 2 x 43 ) / 86

GCD(2, 43) = 86 / 86

GCD(2, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 738, 412, 43, 970 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 506, 97, 145
• GCD of 681, 825, 69, 665
• GCD of 145, 307, 19, 464
• GCD of 557, 786, 56, 879
• GCD of 112, 841, 28, 571

1. What is the GCD of 738, 412, 43, 970?

GCD of 738, 412, 43, 970 is 1

2. Where do I get the detailed procedure to find GCD of 738, 412, 43, 970?

You can find a detailed procedure to find GCD of 738, 412, 43, 970 on our page.

3. How to find GCD of 738, 412, 43, 970 on a calculator?

You can find the GCD of 738, 412, 43, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.