GCD of 434, 420, 90, 749 Calculator

Given Input numbers are 434, 420, 90, 749

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 749

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

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 434, 420, 90, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 420, 90, 749 is 1.

Therefore, GCD of numbers 434, 420, 90, 749 is 1

Given Input Data is 434, 420, 90, 749

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 749 is 7 x 107

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(434, 420) = 13020

GCD(434, 420) = ( 434 x 420 ) / 13020

GCD(434, 420) = 182280 / 13020

GCD(434, 420) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 90

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

LCM(14, 90) = 630

GCD(14, 90) = ( 14 x 90 ) / 630

GCD(14, 90) = 1260 / 630

GCD(14, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

GCD of 434, 420, 90, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 598, 11, 627
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• GCD of 879, 361, 91, 186
• GCD of 739, 763, 37, 353

1. What is the GCD of 434, 420, 90, 749?

GCD of 434, 420, 90, 749 is 1

2. Where do I get the detailed procedure to find GCD of 434, 420, 90, 749?

You can find a detailed procedure to find GCD of 434, 420, 90, 749 on our page.

3. How to find GCD of 434, 420, 90, 749 on a calculator?

You can find the GCD of 434, 420, 90, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.