GCD of 978, 750, 321, 609 Calculator

Given Input numbers are 978, 750, 321, 609

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

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

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 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

GCD of numbers is the greatest common divisor

So, the GCD (978, 750, 321, 609) = 3.

Given numbers are 978, 750, 321, 609

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

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

Prime factors of 321 are 3 x 107

Prime factors of 609 are 3 x 7 x 29

The highest common occurrence is 3¹

Therefore, GCD of 978, 750, 321, 609 is 3.

Given numbers are 978, 750, 321, 609

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

Apply this formula for all numbers.

Step1:

LCM(978, 750) = 122250

GCD(978, 750) = ( 978 x 750 ) / 122250

= 978 / 750

= 978

Step2:

LCM(6, 321) = 642

GCD(6, 321) = ( 6 x 321 ) / 642

= 6 / 321

= 6

Step3:

LCM(3, 609) = 609

GCD(3, 609) = ( 3 x 609 ) / 609

= 3 / 609

= 3

So, Greatest Common Divisor of 978, 750, 321, 609 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 241, 404, 339
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Given numbers are 978, 750, 321, 609
The greatest common divisor of numbers 978, 750, 321, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 750, 321, 609 is 3.

1. What is the GCD of 978, 750, 321, 609?

GCD of given numbers 978, 750, 321, 609 is 3

2. How to calculate the greatest common divisor of 978, 750, 321, 609?

We can find the highest common divisor of 978, 750, 321, 609 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 978, 750, 321, 609 i.e 3.

3. How can I use the GCD of 978, 750, 321, 609Calculator?

Out the numbers 978, 750, 321, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.