GCD of 474, 920, 180, 977 Calculator

Given Input numbers are 474, 920, 180, 977

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

Divisors of 474

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

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

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 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 474, 920, 180, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 920, 180, 977 is 1.

Therefore, GCD of numbers 474, 920, 180, 977 is 1

Given Input Data is 474, 920, 180, 977

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

Prime Factorization of 474 is 2 x 3 x 79

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 977 is 977

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(474, 920) = 218040

GCD(474, 920) = ( 474 x 920 ) / 218040

GCD(474, 920) = 436080 / 218040

GCD(474, 920) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 180

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

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

GCD(2, 180) = 360 / 180

GCD(2, 180) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 977

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

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

GCD(2, 977) = 1954 / 1954

GCD(2, 977) = 1

GCD of 474, 920, 180, 977 is 1

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• GCD of 246, 572, 196, 491
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• GCD of 253, 409, 134, 948

1. What is the GCD of 474, 920, 180, 977?

GCD of 474, 920, 180, 977 is 1

2. Where do I get the detailed procedure to find GCD of 474, 920, 180, 977?

You can find a detailed procedure to find GCD of 474, 920, 180, 977 on our page.

3. How to find GCD of 474, 920, 180, 977 on a calculator?

You can find the GCD of 474, 920, 180, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.