GCD of 406, 435, 749, 153 Calculator

Given Input numbers are 406, 435, 749, 153

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 406, 435, 749, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 435, 749, 153 is 1.

Therefore, GCD of numbers 406, 435, 749, 153 is 1

Given Input Data is 406, 435, 749, 153

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 749 is 7 x 107

Prime Factorization of 153 is 3 x 3 x 17

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(406, 435) = 6090

GCD(406, 435) = ( 406 x 435 ) / 6090

GCD(406, 435) = 176610 / 6090

GCD(406, 435) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 749

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

LCM(29, 749) = 21721

GCD(29, 749) = ( 29 x 749 ) / 21721

GCD(29, 749) = 21721 / 21721

GCD(29, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 406, 435, 749, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 635, 813, 363
• GCD of 778, 426, 772, 503
• GCD of 163, 612, 480, 260
• GCD of 381, 562, 406, 512
• GCD of 657, 178, 273, 864

1. What is the GCD of 406, 435, 749, 153?

GCD of 406, 435, 749, 153 is 1

2. Where do I get the detailed procedure to find GCD of 406, 435, 749, 153?

You can find a detailed procedure to find GCD of 406, 435, 749, 153 on our page.

3. How to find GCD of 406, 435, 749, 153 on a calculator?

You can find the GCD of 406, 435, 749, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.