GCD of 750, 866, 749, 450 Calculator

Given Input numbers are 750, 866, 749, 450

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 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 749

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

1, 7, 107, 749

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 750, 866, 749, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 866, 749, 450 is 1.

Therefore, GCD of numbers 750, 866, 749, 450 is 1

Given Input Data is 750, 866, 749, 450

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 866 is 2 x 433

Prime Factorization of 749 is 7 x 107

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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, 866) = 324750

GCD(750, 866) = ( 750 x 866 ) / 324750

GCD(750, 866) = 649500 / 324750

GCD(750, 866) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 750, 866, 749, 450 is 1

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1. What is the GCD of 750, 866, 749, 450?

GCD of 750, 866, 749, 450 is 1

2. Where do I get the detailed procedure to find GCD of 750, 866, 749, 450?

You can find a detailed procedure to find GCD of 750, 866, 749, 450 on our page.

3. How to find GCD of 750, 866, 749, 450 on a calculator?

You can find the GCD of 750, 866, 749, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.