GCD of 750, 436, 398, 780 Calculator

Given Input numbers are 750, 436, 398, 780

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 750, 436, 398, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 436, 398, 780 is 2.

Therefore, GCD of numbers 750, 436, 398, 780 is 2

Given Input Data is 750, 436, 398, 780

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 398 is 2 x 199

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(750, 436) = 163500

GCD(750, 436) = ( 750 x 436 ) / 163500

GCD(750, 436) = 327000 / 163500

GCD(750, 436) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

GCD of 750, 436, 398, 780 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 782, 672, 404
• GCD of 199, 638, 344, 428
• GCD of 388, 679, 850, 821
• GCD of 737, 162, 444, 457
• GCD of 180, 906, 402, 458

1. What is the GCD of 750, 436, 398, 780?

GCD of 750, 436, 398, 780 is 2

2. Where do I get the detailed procedure to find GCD of 750, 436, 398, 780?

You can find a detailed procedure to find GCD of 750, 436, 398, 780 on our page.

3. How to find GCD of 750, 436, 398, 780 on a calculator?

You can find the GCD of 750, 436, 398, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.