GCD of 72, 492, 752, 537 Calculator

Given Input numbers are 72, 492, 752, 537

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 72, 492, 752, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 492, 752, 537 is 1.

Therefore, GCD of numbers 72, 492, 752, 537 is 1

Given Input Data is 72, 492, 752, 537

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(72, 492) = 2952

GCD(72, 492) = ( 72 x 492 ) / 2952

GCD(72, 492) = 35424 / 2952

GCD(72, 492) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 752

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

LCM(12, 752) = 2256

GCD(12, 752) = ( 12 x 752 ) / 2256

GCD(12, 752) = 9024 / 2256

GCD(12, 752) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 537

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

LCM(4, 537) = 2148

GCD(4, 537) = ( 4 x 537 ) / 2148

GCD(4, 537) = 2148 / 2148

GCD(4, 537) = 1

GCD of 72, 492, 752, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 992, 436, 188
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• GCD of 57, 326, 674, 975
• GCD of 94, 161, 846, 639
• GCD of 59, 918, 573, 614

1. What is the GCD of 72, 492, 752, 537?

GCD of 72, 492, 752, 537 is 1

2. Where do I get the detailed procedure to find GCD of 72, 492, 752, 537?

You can find a detailed procedure to find GCD of 72, 492, 752, 537 on our page.

3. How to find GCD of 72, 492, 752, 537 on a calculator?

You can find the GCD of 72, 492, 752, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.