GCD of 920, 865, 746, 429 Calculator

Given Input numbers are 920, 865, 746, 429

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 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Greatest Common Divisior

We found the divisors of 920, 865, 746, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 865, 746, 429 is 1.

Therefore, GCD of numbers 920, 865, 746, 429 is 1

Given Input Data is 920, 865, 746, 429

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 865 is 5 x 173

Prime Factorization of 746 is 2 x 373

Prime Factorization of 429 is 3 x 11 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(920, 865) = 159160

GCD(920, 865) = ( 920 x 865 ) / 159160

GCD(920, 865) = 795800 / 159160

GCD(920, 865) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 746

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

LCM(5, 746) = 3730

GCD(5, 746) = ( 5 x 746 ) / 3730

GCD(5, 746) = 3730 / 3730

GCD(5, 746) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1

GCD of 920, 865, 746, 429 is 1

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1. What is the GCD of 920, 865, 746, 429?

GCD of 920, 865, 746, 429 is 1

2. Where do I get the detailed procedure to find GCD of 920, 865, 746, 429?

You can find a detailed procedure to find GCD of 920, 865, 746, 429 on our page.

3. How to find GCD of 920, 865, 746, 429 on a calculator?

You can find the GCD of 920, 865, 746, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.