GCD of 966, 708, 988, 378 Calculator

Given Input numbers are 966, 708, 988, 378

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (966, 708, 988, 378) = 2.

Given numbers are 966, 708, 988, 378

The list of prime factors of all numbers are

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

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 966, 708, 988, 378 is 2.

Given numbers are 966, 708, 988, 378

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

Apply this formula for all numbers.

Step1:

LCM(966, 708) = 113988

GCD(966, 708) = ( 966 x 708 ) / 113988

= 966 / 708

= 966

Step2:

LCM(6, 988) = 2964

GCD(6, 988) = ( 6 x 988 ) / 2964

= 6 / 988

= 6

Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 966, 708, 988, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 161, 763, 451
• GCD of 858, 234, 784, 661
• GCD of 153, 736, 565, 518
• GCD of 791, 223, 208, 580
• GCD of 372, 233, 341, 996

Given numbers are 966, 708, 988, 378
The greatest common divisor of numbers 966, 708, 988, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 708, 988, 378 is 2.

1. What is the GCD of 966, 708, 988, 378?

GCD of given numbers 966, 708, 988, 378 is 2

2. How to calculate the greatest common divisor of 966, 708, 988, 378?

We can find the highest common divisor of 966, 708, 988, 378 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, 708, 988, 378 i.e 2.

3. How can I use the GCD of 966, 708, 988, 378Calculator?

Out the numbers 966, 708, 988, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.