GCD of 920, 957, 178, 474 Calculator

Given Input numbers are 920, 957, 178, 474

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 920, 957, 178, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 957, 178, 474 is 1.

Therefore, GCD of numbers 920, 957, 178, 474 is 1

Given Input Data is 920, 957, 178, 474

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 178 is 2 x 89

Prime Factorization of 474 is 2 x 3 x 79

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(920, 957) = 880440

GCD(920, 957) = ( 920 x 957 ) / 880440

GCD(920, 957) = 880440 / 880440

GCD(920, 957) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 920, 957, 178, 474 is 1

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1. What is the GCD of 920, 957, 178, 474?

GCD of 920, 957, 178, 474 is 1

2. Where do I get the detailed procedure to find GCD of 920, 957, 178, 474?

You can find a detailed procedure to find GCD of 920, 957, 178, 474 on our page.

3. How to find GCD of 920, 957, 178, 474 on a calculator?

You can find the GCD of 920, 957, 178, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.