GCD of 660, 978, 750, 789 Calculator

Given Input numbers are 660, 978, 750, 789

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (660, 978, 750, 789) = 3.

Given numbers are 660, 978, 750, 789

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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 789 are 3 x 263

The highest common occurrence is 3¹

Therefore, GCD of 660, 978, 750, 789 is 3.

Given numbers are 660, 978, 750, 789

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

Apply this formula for all numbers.

Step1:

LCM(660, 978) = 107580

GCD(660, 978) = ( 660 x 978 ) / 107580

= 660 / 978

= 660

Step2:

LCM(6, 750) = 750

GCD(6, 750) = ( 6 x 750 ) / 750

= 6 / 750

= 6

Step3:

LCM(6, 789) = 1578

GCD(6, 789) = ( 6 x 789 ) / 1578

= 6 / 789

= 6

So, Greatest Common Divisor of 660, 978, 750, 789 is 3

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Given numbers are 660, 978, 750, 789
The greatest common divisor of numbers 660, 978, 750, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 978, 750, 789 is 3.

1. What is the GCD of 660, 978, 750, 789?

GCD of given numbers 660, 978, 750, 789 is 3

2. How to calculate the greatest common divisor of 660, 978, 750, 789?

We can find the highest common divisor of 660, 978, 750, 789 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 660, 978, 750, 789 i.e 3.

3. How can I use the GCD of 660, 978, 750, 789Calculator?

Out the numbers 660, 978, 750, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.