GCD of 976, 229, 87, 219 Calculator

Given Input numbers are 976, 229, 87, 219

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 229

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

1, 229

Divisors of 87

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

1, 3, 29, 87

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 976, 229, 87, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 229, 87, 219 is 1.

Therefore, GCD of numbers 976, 229, 87, 219 is 1

Given Input Data is 976, 229, 87, 219

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 229 is 229

Prime Factorization of 87 is 3 x 29

Prime Factorization of 219 is 3 x 73

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(976, 229) = 223504

GCD(976, 229) = ( 976 x 229 ) / 223504

GCD(976, 229) = 223504 / 223504

GCD(976, 229) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 219

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

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

GCD(1, 219) = 219 / 219

GCD(1, 219) = 1

GCD of 976, 229, 87, 219 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 893, 62, 917
• GCD of 450, 212, 75, 923
• GCD of 529, 358, 84, 930
• GCD of 100, 720, 70, 836
• GCD of 170, 990, 44, 326

1. What is the GCD of 976, 229, 87, 219?

GCD of 976, 229, 87, 219 is 1

2. Where do I get the detailed procedure to find GCD of 976, 229, 87, 219?

You can find a detailed procedure to find GCD of 976, 229, 87, 219 on our page.

3. How to find GCD of 976, 229, 87, 219 on a calculator?

You can find the GCD of 976, 229, 87, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.