GCD of 750, 326, 400, 489 Calculator

Given Input numbers are 750, 326, 400, 489

In the factoring method, we have to find the divisors of all numbers

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

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

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (750, 326, 400, 489) = 1.

Given numbers are 750, 326, 400, 489

The list of prime factors of all numbers are

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 326 are 2 x 163

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 489 are 3 x 163

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 750, 326, 400, 489

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(750, 326) = 122250

GCD(750, 326) = ( 750 x 326 ) / 122250

= 750 / 326

= 750

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

Step3:

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

= 2 / 489

= 2

So, Greatest Common Divisor of 750, 326, 400, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 268, 442, 532
• GCD of 296, 758, 781, 303
• GCD of 407, 379, 531, 379
• GCD of 108, 754, 211, 292
• GCD of 278, 118, 705, 563

Given numbers are 750, 326, 400, 489
The greatest common divisor of numbers 750, 326, 400, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 326, 400, 489 is 1.

1. What is the GCD of 750, 326, 400, 489?

GCD of given numbers 750, 326, 400, 489 is 1

2. How to calculate the greatest common divisor of 750, 326, 400, 489?

We can find the highest common divisor of 750, 326, 400, 489 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 750, 326, 400, 489 i.e 1.

3. How can I use the GCD of 750, 326, 400, 489Calculator?

Out the numbers 750, 326, 400, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.