GCD of 750, 336, 61, 789 Calculator

Given Input numbers are 750, 336, 61, 789

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 750, 336, 61, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 336, 61, 789 is 1.

Therefore, GCD of numbers 750, 336, 61, 789 is 1

Given Input Data is 750, 336, 61, 789

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 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 61 is 61

Prime Factorization of 789 is 3 x 263

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(750, 336) = 42000

GCD(750, 336) = ( 750 x 336 ) / 42000

GCD(750, 336) = 252000 / 42000

GCD(750, 336) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 61

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

LCM(6, 61) = 366

GCD(6, 61) = ( 6 x 61 ) / 366

GCD(6, 61) = 366 / 366

GCD(6, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

GCD of 750, 336, 61, 789 is 1

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1. What is the GCD of 750, 336, 61, 789?

GCD of 750, 336, 61, 789 is 1

2. Where do I get the detailed procedure to find GCD of 750, 336, 61, 789?

You can find a detailed procedure to find GCD of 750, 336, 61, 789 on our page.

3. How to find GCD of 750, 336, 61, 789 on a calculator?

You can find the GCD of 750, 336, 61, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.