GCD of 524, 746, 87, 229 Calculator

Given Input numbers are 524, 746, 87, 229

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 524, 746, 87, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 746, 87, 229 is 1.

Therefore, GCD of numbers 524, 746, 87, 229 is 1

Given Input Data is 524, 746, 87, 229

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 746 is 2 x 373

Prime Factorization of 87 is 3 x 29

Prime Factorization of 229 is 229

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(524, 746) = 195452

GCD(524, 746) = ( 524 x 746 ) / 195452

GCD(524, 746) = 390904 / 195452

GCD(524, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 524, 746, 87, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 675, 68, 164
• GCD of 766, 569, 82, 360
• GCD of 633, 821, 14, 592
• GCD of 132, 175, 89, 291
• GCD of 305, 796, 26, 779

1. What is the GCD of 524, 746, 87, 229?

GCD of 524, 746, 87, 229 is 1

2. Where do I get the detailed procedure to find GCD of 524, 746, 87, 229?

You can find a detailed procedure to find GCD of 524, 746, 87, 229 on our page.

3. How to find GCD of 524, 746, 87, 229 on a calculator?

You can find the GCD of 524, 746, 87, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.