GCD of 370, 358, 89, 532 Calculator

Given Input numbers are 370, 358, 89, 532

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 370, 358, 89, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 358, 89, 532 is 1.

Therefore, GCD of numbers 370, 358, 89, 532 is 1

Given Input Data is 370, 358, 89, 532

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 358 is 2 x 179

Prime Factorization of 89 is 89

Prime Factorization of 532 is 2 x 2 x 7 x 19

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(370, 358) = 66230

GCD(370, 358) = ( 370 x 358 ) / 66230

GCD(370, 358) = 132460 / 66230

GCD(370, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 370, 358, 89, 532 is 1

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1. What is the GCD of 370, 358, 89, 532?

GCD of 370, 358, 89, 532 is 1

2. Where do I get the detailed procedure to find GCD of 370, 358, 89, 532?

You can find a detailed procedure to find GCD of 370, 358, 89, 532 on our page.

3. How to find GCD of 370, 358, 89, 532 on a calculator?

You can find the GCD of 370, 358, 89, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.