GCD of 870, 308, 60, 204 Calculator

Given Input numbers are 870, 308, 60, 204

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 870, 308, 60, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 308, 60, 204 is 2.

Therefore, GCD of numbers 870, 308, 60, 204 is 2

Given Input Data is 870, 308, 60, 204

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 204 is 2 x 2 x 3 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(870, 308) = 133980

GCD(870, 308) = ( 870 x 308 ) / 133980

GCD(870, 308) = 267960 / 133980

GCD(870, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 204

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

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

GCD(2, 204) = 408 / 204

GCD(2, 204) = 2

GCD of 870, 308, 60, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 503, 80, 976
• GCD of 197, 545, 37, 293
• GCD of 379, 368, 65, 934
• GCD of 374, 572, 27, 912
• GCD of 415, 446, 16, 764

1. What is the GCD of 870, 308, 60, 204?

GCD of 870, 308, 60, 204 is 2

2. Where do I get the detailed procedure to find GCD of 870, 308, 60, 204?

You can find a detailed procedure to find GCD of 870, 308, 60, 204 on our page.

3. How to find GCD of 870, 308, 60, 204 on a calculator?

You can find the GCD of 870, 308, 60, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.