GCD of 155, 456, 400, 938 Calculator

Given Input numbers are 155, 456, 400, 938

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

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 155, 456, 400, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 155, 456, 400, 938 is 1.

Therefore, GCD of numbers 155, 456, 400, 938 is 1

Given Input Data is 155, 456, 400, 938

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

Prime Factorization of 155 is 5 x 31

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 938 is 2 x 7 x 67

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(155, 456) = 70680

GCD(155, 456) = ( 155 x 456 ) / 70680

GCD(155, 456) = 70680 / 70680

GCD(155, 456) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 155, 456, 400, 938 is 1

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1. What is the GCD of 155, 456, 400, 938?

GCD of 155, 456, 400, 938 is 1

2. Where do I get the detailed procedure to find GCD of 155, 456, 400, 938?

You can find a detailed procedure to find GCD of 155, 456, 400, 938 on our page.

3. How to find GCD of 155, 456, 400, 938 on a calculator?

You can find the GCD of 155, 456, 400, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.