GCD of 357, 574, 150, 160 Calculator

Given Input numbers are 357, 574, 150, 160

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 357, 574, 150, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 574, 150, 160 is 1.

Therefore, GCD of numbers 357, 574, 150, 160 is 1

Given Input Data is 357, 574, 150, 160

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 574 is 2 x 7 x 41

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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, 574) = 29274

GCD(357, 574) = ( 357 x 574 ) / 29274

GCD(357, 574) = 204918 / 29274

GCD(357, 574) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 150

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

LCM(7, 150) = 1050

GCD(7, 150) = ( 7 x 150 ) / 1050

GCD(7, 150) = 1050 / 1050

GCD(7, 150) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 357, 574, 150, 160 is 1

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1. What is the GCD of 357, 574, 150, 160?

GCD of 357, 574, 150, 160 is 1

2. Where do I get the detailed procedure to find GCD of 357, 574, 150, 160?

You can find a detailed procedure to find GCD of 357, 574, 150, 160 on our page.

3. How to find GCD of 357, 574, 150, 160 on a calculator?

You can find the GCD of 357, 574, 150, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.