GCD of 145, 171, 850, 429 Calculator

Given Input numbers are 145, 171, 850, 429

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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 145, 171, 850, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 171, 850, 429 is 1.

Therefore, GCD of numbers 145, 171, 850, 429 is 1

Given Input Data is 145, 171, 850, 429

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(145, 171) = 24795

GCD(145, 171) = ( 145 x 171 ) / 24795

GCD(145, 171) = 24795 / 24795

GCD(145, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 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 145, 171, 850, 429 is 1

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1. What is the GCD of 145, 171, 850, 429?

GCD of 145, 171, 850, 429 is 1

2. Where do I get the detailed procedure to find GCD of 145, 171, 850, 429?

You can find a detailed procedure to find GCD of 145, 171, 850, 429 on our page.

3. How to find GCD of 145, 171, 850, 429 on a calculator?

You can find the GCD of 145, 171, 850, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.