GCD of 429, 636, 838, 988 Calculator

Given Input numbers are 429, 636, 838, 988

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

Divisors of 429

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

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 429, 636, 838, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 636, 838, 988 is 1.

Therefore, GCD of numbers 429, 636, 838, 988 is 1

Given Input Data is 429, 636, 838, 988

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 838 is 2 x 419

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(429, 636) = 90948

GCD(429, 636) = ( 429 x 636 ) / 90948

GCD(429, 636) = 272844 / 90948

GCD(429, 636) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 838

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

LCM(3, 838) = 2514

GCD(3, 838) = ( 3 x 838 ) / 2514

GCD(3, 838) = 2514 / 2514

GCD(3, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 429, 636, 838, 988 is 1

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1. What is the GCD of 429, 636, 838, 988?

GCD of 429, 636, 838, 988 is 1

2. Where do I get the detailed procedure to find GCD of 429, 636, 838, 988?

You can find a detailed procedure to find GCD of 429, 636, 838, 988 on our page.

3. How to find GCD of 429, 636, 838, 988 on a calculator?

You can find the GCD of 429, 636, 838, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.