GCD of 591, 152, 747, 112 Calculator

Given Input numbers are 591, 152, 747, 112

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

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 591, 152, 747, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 152, 747, 112 is 1.

Therefore, GCD of numbers 591, 152, 747, 112 is 1

Given Input Data is 591, 152, 747, 112

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

Prime Factorization of 591 is 3 x 197

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 112 is 2 x 2 x 2 x 2 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(591, 152) = 89832

GCD(591, 152) = ( 591 x 152 ) / 89832

GCD(591, 152) = 89832 / 89832

GCD(591, 152) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 591, 152, 747, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 588, 698, 989
• GCD of 325, 719, 456, 529
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• GCD of 518, 213, 112, 959
• GCD of 927, 813, 955, 667

1. What is the GCD of 591, 152, 747, 112?

GCD of 591, 152, 747, 112 is 1

2. Where do I get the detailed procedure to find GCD of 591, 152, 747, 112?

You can find a detailed procedure to find GCD of 591, 152, 747, 112 on our page.

3. How to find GCD of 591, 152, 747, 112 on a calculator?

You can find the GCD of 591, 152, 747, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.