GCD of 435, 126, 270, 722 Calculator

Given Input numbers are 435, 126, 270, 722

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 435, 126, 270, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 126, 270, 722 is 1.

Therefore, GCD of numbers 435, 126, 270, 722 is 1

Given Input Data is 435, 126, 270, 722

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 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 722 is 2 x 19 x 19

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 270

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

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

GCD(3, 270) = 810 / 270

GCD(3, 270) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 722

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

LCM(3, 722) = 2166

GCD(3, 722) = ( 3 x 722 ) / 2166

GCD(3, 722) = 2166 / 2166

GCD(3, 722) = 1

GCD of 435, 126, 270, 722 is 1

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1. What is the GCD of 435, 126, 270, 722?

GCD of 435, 126, 270, 722 is 1

2. Where do I get the detailed procedure to find GCD of 435, 126, 270, 722?

You can find a detailed procedure to find GCD of 435, 126, 270, 722 on our page.

3. How to find GCD of 435, 126, 270, 722 on a calculator?

You can find the GCD of 435, 126, 270, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.