GCD of 144, 592, 77, 210 Calculator

Given Input numbers are 144, 592, 77, 210

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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

Greatest Common Divisior

We found the divisors of 144, 592, 77, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 592, 77, 210 is 1.

Therefore, GCD of numbers 144, 592, 77, 210 is 1

Given Input Data is 144, 592, 77, 210

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 77 is 7 x 11

Prime Factorization of 210 is 2 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(144, 592) = 5328

GCD(144, 592) = ( 144 x 592 ) / 5328

GCD(144, 592) = 85248 / 5328

GCD(144, 592) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 77

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

LCM(16, 77) = 1232

GCD(16, 77) = ( 16 x 77 ) / 1232

GCD(16, 77) = 1232 / 1232

GCD(16, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

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

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 1

GCD of 144, 592, 77, 210 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 916, 71, 225
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• GCD of 665, 214, 72, 739
• GCD of 643, 934, 23, 988

1. What is the GCD of 144, 592, 77, 210?

GCD of 144, 592, 77, 210 is 1

2. Where do I get the detailed procedure to find GCD of 144, 592, 77, 210?

You can find a detailed procedure to find GCD of 144, 592, 77, 210 on our page.

3. How to find GCD of 144, 592, 77, 210 on a calculator?

You can find the GCD of 144, 592, 77, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.