GCD of 966, 600, 749, 666 Calculator

Given Input numbers are 966, 600, 749, 666

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

GCD of numbers is the greatest common divisor

So, the GCD (966, 600, 749, 666) = 1.

Given numbers are 966, 600, 749, 666

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 749 are 7 x 107

Prime factors of 666 are 2 x 3 x 3 x 37

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

Given numbers are 966, 600, 749, 666

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

Apply this formula for all numbers.

Step1:

LCM(966, 600) = 96600

GCD(966, 600) = ( 966 x 600 ) / 96600

= 966 / 600

= 966

Step2:

LCM(6, 749) = 4494

GCD(6, 749) = ( 6 x 749 ) / 4494

= 6 / 749

= 6

Step3:

LCM(1, 666) = 666

GCD(1, 666) = ( 1 x 666 ) / 666

= 1 / 666

= 1

So, Greatest Common Divisor of 966, 600, 749, 666 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 343, 272, 860
• GCD of 308, 899, 373, 472
• GCD of 801, 746, 126, 971
• GCD of 859, 450, 864, 758
• GCD of 851, 706, 144, 713

Given numbers are 966, 600, 749, 666
The greatest common divisor of numbers 966, 600, 749, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 600, 749, 666 is 1.

1. What is the GCD of 966, 600, 749, 666?

GCD of given numbers 966, 600, 749, 666 is 1

2. How to calculate the greatest common divisor of 966, 600, 749, 666?

We can find the highest common divisor of 966, 600, 749, 666 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 966, 600, 749, 666 i.e 1.

3. How can I use the GCD of 966, 600, 749, 666Calculator?

Out the numbers 966, 600, 749, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.