GCD of 456, 152, 562, 117 Calculator

Given Input numbers are 456, 152, 562, 117

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 456, 152, 562, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 152, 562, 117 is 1.

Therefore, GCD of numbers 456, 152, 562, 117 is 1

Given Input Data is 456, 152, 562, 117

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 562 is 2 x 281

Prime Factorization of 117 is 3 x 3 x 13

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(456, 152) = 456

GCD(456, 152) = ( 456 x 152 ) / 456

GCD(456, 152) = 69312 / 456

GCD(456, 152) = 152

Step2:

Here we consider the GCD from the above i.e. 152 as first number and the next as 562

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

LCM(152, 562) = 42712

GCD(152, 562) = ( 152 x 562 ) / 42712

GCD(152, 562) = 85424 / 42712

GCD(152, 562) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

GCD of 456, 152, 562, 117 is 1

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1. What is the GCD of 456, 152, 562, 117?

GCD of 456, 152, 562, 117 is 1

2. Where do I get the detailed procedure to find GCD of 456, 152, 562, 117?

You can find a detailed procedure to find GCD of 456, 152, 562, 117 on our page.

3. How to find GCD of 456, 152, 562, 117 on a calculator?

You can find the GCD of 456, 152, 562, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.