GCD of 126, 159, 706, 429 Calculator

Given Input numbers are 126, 159, 706, 429

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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 126, 159, 706, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 159, 706, 429 is 1.

Therefore, GCD of numbers 126, 159, 706, 429 is 1

Given Input Data is 126, 159, 706, 429

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 159 is 3 x 53

Prime Factorization of 706 is 2 x 353

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(126, 159) = 6678

GCD(126, 159) = ( 126 x 159 ) / 6678

GCD(126, 159) = 20034 / 6678

GCD(126, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 706

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

LCM(3, 706) = 2118

GCD(3, 706) = ( 3 x 706 ) / 2118

GCD(3, 706) = 2118 / 2118

GCD(3, 706) = 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 126, 159, 706, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 327, 392, 405
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• GCD of 750, 124, 805, 978

1. What is the GCD of 126, 159, 706, 429?

GCD of 126, 159, 706, 429 is 1

2. Where do I get the detailed procedure to find GCD of 126, 159, 706, 429?

You can find a detailed procedure to find GCD of 126, 159, 706, 429 on our page.

3. How to find GCD of 126, 159, 706, 429 on a calculator?

You can find the GCD of 126, 159, 706, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.