GCD of 429, 409, 97, 942 Calculator

Given Input numbers are 429, 409, 97, 942

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 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 429, 409, 97, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 409, 97, 942 is 1.

Therefore, GCD of numbers 429, 409, 97, 942 is 1

Given Input Data is 429, 409, 97, 942

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 409 is 409

Prime Factorization of 97 is 97

Prime Factorization of 942 is 2 x 3 x 157

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, 409) = 175461

GCD(429, 409) = ( 429 x 409 ) / 175461

GCD(429, 409) = 175461 / 175461

GCD(429, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 429, 409, 97, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 874, 11, 667
• GCD of 341, 785, 85, 547
• GCD of 622, 881, 25, 259
• GCD of 623, 179, 36, 971
• GCD of 247, 474, 72, 999

1. What is the GCD of 429, 409, 97, 942?

GCD of 429, 409, 97, 942 is 1

2. Where do I get the detailed procedure to find GCD of 429, 409, 97, 942?

You can find a detailed procedure to find GCD of 429, 409, 97, 942 on our page.

3. How to find GCD of 429, 409, 97, 942 on a calculator?

You can find the GCD of 429, 409, 97, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.