GCD of 738, 724, 417, 420 Calculator

Given Input numbers are 738, 724, 417, 420

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 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 738, 724, 417, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 724, 417, 420 is 1.

Therefore, GCD of numbers 738, 724, 417, 420 is 1

Given Input Data is 738, 724, 417, 420

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 724 is 2 x 2 x 181

Prime Factorization of 417 is 3 x 139

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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, 724) = 267156

GCD(738, 724) = ( 738 x 724 ) / 267156

GCD(738, 724) = 534312 / 267156

GCD(738, 724) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 417

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

LCM(2, 417) = 834

GCD(2, 417) = ( 2 x 417 ) / 834

GCD(2, 417) = 834 / 834

GCD(2, 417) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 738, 724, 417, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 180, 469, 613
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• GCD of 132, 315, 757, 820
• GCD of 301, 468, 199, 666

1. What is the GCD of 738, 724, 417, 420?

GCD of 738, 724, 417, 420 is 1

2. Where do I get the detailed procedure to find GCD of 738, 724, 417, 420?

You can find a detailed procedure to find GCD of 738, 724, 417, 420 on our page.

3. How to find GCD of 738, 724, 417, 420 on a calculator?

You can find the GCD of 738, 724, 417, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.