GCD of 229, 462, 10, 977 Calculator

Given Input numbers are 229, 462, 10, 977

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 229, 462, 10, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 462, 10, 977 is 1.

Therefore, GCD of numbers 229, 462, 10, 977 is 1

Given Input Data is 229, 462, 10, 977

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

Prime Factorization of 229 is 229

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 10 is 2 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(229, 462) = 105798

GCD(229, 462) = ( 229 x 462 ) / 105798

GCD(229, 462) = 105798 / 105798

GCD(229, 462) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 229, 462, 10, 977 is 1

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• GCD of 636, 749, 14, 219
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1. What is the GCD of 229, 462, 10, 977?

GCD of 229, 462, 10, 977 is 1

2. Where do I get the detailed procedure to find GCD of 229, 462, 10, 977?

You can find a detailed procedure to find GCD of 229, 462, 10, 977 on our page.

3. How to find GCD of 229, 462, 10, 977 on a calculator?

You can find the GCD of 229, 462, 10, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.