GCD of 357, 406, 356, 144 Calculator

Given Input numbers are 357, 406, 356, 144

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

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

Greatest Common Divisior

We found the divisors of 357, 406, 356, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 406, 356, 144 is 1.

Therefore, GCD of numbers 357, 406, 356, 144 is 1

Given Input Data is 357, 406, 356, 144

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 356 is 2 x 2 x 89

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

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(357, 406) = 20706

GCD(357, 406) = ( 357 x 406 ) / 20706

GCD(357, 406) = 144942 / 20706

GCD(357, 406) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 356

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

LCM(7, 356) = 2492

GCD(7, 356) = ( 7 x 356 ) / 2492

GCD(7, 356) = 2492 / 2492

GCD(7, 356) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 357, 406, 356, 144 is 1

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• GCD of 315, 790, 731, 430
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1. What is the GCD of 357, 406, 356, 144?

GCD of 357, 406, 356, 144 is 1

2. Where do I get the detailed procedure to find GCD of 357, 406, 356, 144?

You can find a detailed procedure to find GCD of 357, 406, 356, 144 on our page.

3. How to find GCD of 357, 406, 356, 144 on a calculator?

You can find the GCD of 357, 406, 356, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.