GCD of 87, 302, 104, 945 Calculator

Given Input numbers are 87, 302, 104, 945

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 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 87, 302, 104, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 302, 104, 945 is 1.

Therefore, GCD of numbers 87, 302, 104, 945 is 1

Given Input Data is 87, 302, 104, 945

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 302 is 2 x 151

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 945 is 3 x 3 x 3 x 5 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(87, 302) = 26274

GCD(87, 302) = ( 87 x 302 ) / 26274

GCD(87, 302) = 26274 / 26274

GCD(87, 302) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 87, 302, 104, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 329, 336, 624
• GCD of 34, 941, 728, 425
• GCD of 37, 143, 706, 866
• GCD of 76, 699, 943, 552
• GCD of 50, 869, 452, 709

1. What is the GCD of 87, 302, 104, 945?

GCD of 87, 302, 104, 945 is 1

2. Where do I get the detailed procedure to find GCD of 87, 302, 104, 945?

You can find a detailed procedure to find GCD of 87, 302, 104, 945 on our page.

3. How to find GCD of 87, 302, 104, 945 on a calculator?

You can find the GCD of 87, 302, 104, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.