GCD of 210, 119, 655, 253 Calculator

Given Input numbers are 210, 119, 655, 253

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 253

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

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 210, 119, 655, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 119, 655, 253 is 1.

Therefore, GCD of numbers 210, 119, 655, 253 is 1

Given Input Data is 210, 119, 655, 253

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 119 is 7 x 17

Prime Factorization of 655 is 5 x 131

Prime Factorization of 253 is 11 x 23

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(210, 119) = 3570

GCD(210, 119) = ( 210 x 119 ) / 3570

GCD(210, 119) = 24990 / 3570

GCD(210, 119) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 655

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

LCM(7, 655) = 4585

GCD(7, 655) = ( 7 x 655 ) / 4585

GCD(7, 655) = 4585 / 4585

GCD(7, 655) = 1

Step3:

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

GCD of 210, 119, 655, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 962, 877, 223
• GCD of 912, 527, 899, 892
• GCD of 872, 768, 228, 708
• GCD of 376, 225, 617, 412
• GCD of 878, 253, 710, 500

1. What is the GCD of 210, 119, 655, 253?

GCD of 210, 119, 655, 253 is 1

2. Where do I get the detailed procedure to find GCD of 210, 119, 655, 253?

You can find a detailed procedure to find GCD of 210, 119, 655, 253 on our page.

3. How to find GCD of 210, 119, 655, 253 on a calculator?

You can find the GCD of 210, 119, 655, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.