GCD of 738, 264, 913, 537 Calculator

Given Input numbers are 738, 264, 913, 537

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 738, 264, 913, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 264, 913, 537 is 1.

Therefore, GCD of numbers 738, 264, 913, 537 is 1

Given Input Data is 738, 264, 913, 537

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 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 913 is 11 x 83

Prime Factorization of 537 is 3 x 179

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, 264) = 32472

GCD(738, 264) = ( 738 x 264 ) / 32472

GCD(738, 264) = 194832 / 32472

GCD(738, 264) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 913

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

LCM(6, 913) = 5478

GCD(6, 913) = ( 6 x 913 ) / 5478

GCD(6, 913) = 5478 / 5478

GCD(6, 913) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 738, 264, 913, 537 is 1

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• GCD of 418, 429, 818, 972
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1. What is the GCD of 738, 264, 913, 537?

GCD of 738, 264, 913, 537 is 1

2. Where do I get the detailed procedure to find GCD of 738, 264, 913, 537?

You can find a detailed procedure to find GCD of 738, 264, 913, 537 on our page.

3. How to find GCD of 738, 264, 913, 537 on a calculator?

You can find the GCD of 738, 264, 913, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.