GCD of 435, 126, 760, 322 Calculator

Given Input numbers are 435, 126, 760, 322

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

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 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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 435, 126, 760, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 126, 760, 322 is 1.

Therefore, GCD of numbers 435, 126, 760, 322 is 1

Given Input Data is 435, 126, 760, 322

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

Prime Factorization of 435 is 3 x 5 x 29

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 322 is 2 x 7 x 23

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(435, 126) = 18270

GCD(435, 126) = ( 435 x 126 ) / 18270

GCD(435, 126) = 54810 / 18270

GCD(435, 126) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 760

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

LCM(3, 760) = 2280

GCD(3, 760) = ( 3 x 760 ) / 2280

GCD(3, 760) = 2280 / 2280

GCD(3, 760) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 435, 126, 760, 322 is 1

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1. What is the GCD of 435, 126, 760, 322?

GCD of 435, 126, 760, 322 is 1

2. Where do I get the detailed procedure to find GCD of 435, 126, 760, 322?

You can find a detailed procedure to find GCD of 435, 126, 760, 322 on our page.

3. How to find GCD of 435, 126, 760, 322 on a calculator?

You can find the GCD of 435, 126, 760, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.