GCD of 210, 561, 72, 154 Calculator

Given Input numbers are 210, 561, 72, 154

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 210, 561, 72, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 561, 72, 154 is 1.

Therefore, GCD of numbers 210, 561, 72, 154 is 1

Given Input Data is 210, 561, 72, 154

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 561 is 3 x 11 x 17

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 154 is 2 x 7 x 11

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, 561) = 39270

GCD(210, 561) = ( 210 x 561 ) / 39270

GCD(210, 561) = 117810 / 39270

GCD(210, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 154

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

LCM(3, 154) = 462

GCD(3, 154) = ( 3 x 154 ) / 462

GCD(3, 154) = 462 / 462

GCD(3, 154) = 1

GCD of 210, 561, 72, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 631, 80, 431
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• GCD of 785, 197, 60, 694
• GCD of 316, 339, 51, 663
• GCD of 542, 292, 36, 117

1. What is the GCD of 210, 561, 72, 154?

GCD of 210, 561, 72, 154 is 1

2. Where do I get the detailed procedure to find GCD of 210, 561, 72, 154?

You can find a detailed procedure to find GCD of 210, 561, 72, 154 on our page.

3. How to find GCD of 210, 561, 72, 154 on a calculator?

You can find the GCD of 210, 561, 72, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.