GCD of 429, 342, 557, 992 Calculator

Given Input numbers are 429, 342, 557, 992

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 429, 342, 557, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 342, 557, 992 is 1.

Therefore, GCD of numbers 429, 342, 557, 992 is 1

Given Input Data is 429, 342, 557, 992

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 342 is 2 x 3 x 3 x 19

Prime Factorization of 557 is 557

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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, 342) = 48906

GCD(429, 342) = ( 429 x 342 ) / 48906

GCD(429, 342) = 146718 / 48906

GCD(429, 342) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 557

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

LCM(3, 557) = 1671

GCD(3, 557) = ( 3 x 557 ) / 1671

GCD(3, 557) = 1671 / 1671

GCD(3, 557) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 429, 342, 557, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 354, 121, 532
• GCD of 920, 502, 441, 371
• GCD of 489, 288, 291, 592
• GCD of 456, 938, 354, 944
• GCD of 871, 837, 311, 928

1. What is the GCD of 429, 342, 557, 992?

GCD of 429, 342, 557, 992 is 1

2. Where do I get the detailed procedure to find GCD of 429, 342, 557, 992?

You can find a detailed procedure to find GCD of 429, 342, 557, 992 on our page.

3. How to find GCD of 429, 342, 557, 992 on a calculator?

You can find the GCD of 429, 342, 557, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.