GCD of 87, 436, 253, 712 Calculator

Given Input numbers are 87, 436, 253, 712

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 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 87, 436, 253, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 436, 253, 712 is 1.

Therefore, GCD of numbers 87, 436, 253, 712 is 1

Given Input Data is 87, 436, 253, 712

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 253 is 11 x 23

Prime Factorization of 712 is 2 x 2 x 2 x 89

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, 436) = 37932

GCD(87, 436) = ( 87 x 436 ) / 37932

GCD(87, 436) = 37932 / 37932

GCD(87, 436) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 87, 436, 253, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 580, 302, 879
• GCD of 89, 404, 371, 158
• GCD of 48, 915, 176, 712
• GCD of 65, 323, 266, 741
• GCD of 78, 948, 559, 301

1. What is the GCD of 87, 436, 253, 712?

GCD of 87, 436, 253, 712 is 1

2. Where do I get the detailed procedure to find GCD of 87, 436, 253, 712?

You can find a detailed procedure to find GCD of 87, 436, 253, 712 on our page.

3. How to find GCD of 87, 436, 253, 712 on a calculator?

You can find the GCD of 87, 436, 253, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.