GCD of 358, 137, 45, 816 Calculator

Given Input numbers are 358, 137, 45, 816

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

Divisors of 358

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

1, 2, 179, 358

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Greatest Common Divisior

We found the divisors of 358, 137, 45, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 137, 45, 816 is 1.

Therefore, GCD of numbers 358, 137, 45, 816 is 1

Given Input Data is 358, 137, 45, 816

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 137 is 137

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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(358, 137) = 49046

GCD(358, 137) = ( 358 x 137 ) / 49046

GCD(358, 137) = 49046 / 49046

GCD(358, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

GCD of 358, 137, 45, 816 is 1

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1. What is the GCD of 358, 137, 45, 816?

GCD of 358, 137, 45, 816 is 1

2. Where do I get the detailed procedure to find GCD of 358, 137, 45, 816?

You can find a detailed procedure to find GCD of 358, 137, 45, 816 on our page.

3. How to find GCD of 358, 137, 45, 816 on a calculator?

You can find the GCD of 358, 137, 45, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.