GCD of 87, 752, 218, 362 Calculator

Given Input numbers are 87, 752, 218, 362

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

Divisors of 87

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

1, 3, 29, 87

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 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 87, 752, 218, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 752, 218, 362 is 1.

Therefore, GCD of numbers 87, 752, 218, 362 is 1

Given Input Data is 87, 752, 218, 362

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

Prime Factorization of 87 is 3 x 29

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 362 is 2 x 181

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(87, 752) = 65424

GCD(87, 752) = ( 87 x 752 ) / 65424

GCD(87, 752) = 65424 / 65424

GCD(87, 752) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 87, 752, 218, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 242, 240, 810
• GCD of 17, 808, 450, 683
• GCD of 86, 780, 672, 862
• GCD of 16, 111, 669, 144
• GCD of 79, 406, 811, 118

1. What is the GCD of 87, 752, 218, 362?

GCD of 87, 752, 218, 362 is 1

2. Where do I get the detailed procedure to find GCD of 87, 752, 218, 362?

You can find a detailed procedure to find GCD of 87, 752, 218, 362 on our page.

3. How to find GCD of 87, 752, 218, 362 on a calculator?

You can find the GCD of 87, 752, 218, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.