GCD of 34, 435, 132, 852 Calculator

Given Input numbers are 34, 435, 132, 852

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 34, 435, 132, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 435, 132, 852 is 1.

Therefore, GCD of numbers 34, 435, 132, 852 is 1

Given Input Data is 34, 435, 132, 852

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(34, 435) = 14790

GCD(34, 435) = ( 34 x 435 ) / 14790

GCD(34, 435) = 14790 / 14790

GCD(34, 435) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 34, 435, 132, 852 is 1

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1. What is the GCD of 34, 435, 132, 852?

GCD of 34, 435, 132, 852 is 1

2. Where do I get the detailed procedure to find GCD of 34, 435, 132, 852?

You can find a detailed procedure to find GCD of 34, 435, 132, 852 on our page.

3. How to find GCD of 34, 435, 132, 852 on a calculator?

You can find the GCD of 34, 435, 132, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.