GCD of 678, 286, 966, 961 Calculator

Given Input numbers are 678, 286, 966, 961

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

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 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (678, 286, 966, 961) = 1.

Given numbers are 678, 286, 966, 961

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 286 are 2 x 11 x 13

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

Prime factors of 961 are 31 x 31

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

Given numbers are 678, 286, 966, 961

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

Apply this formula for all numbers.

Step1:

LCM(678, 286) = 96954

GCD(678, 286) = ( 678 x 286 ) / 96954

= 678 / 286

= 678

Step2:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

Step3:

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

= 2 / 961

= 2

So, Greatest Common Divisor of 678, 286, 966, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 216, 699, 744
• GCD of 684, 537, 332, 548
• GCD of 538, 797, 878, 829
• GCD of 438, 766, 488, 212
• GCD of 439, 363, 162, 113

Given numbers are 678, 286, 966, 961
The greatest common divisor of numbers 678, 286, 966, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 286, 966, 961 is 1.

1. What is the GCD of 678, 286, 966, 961?

GCD of given numbers 678, 286, 966, 961 is 1

2. How to calculate the greatest common divisor of 678, 286, 966, 961?

We can find the highest common divisor of 678, 286, 966, 961 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 678, 286, 966, 961 i.e 1.

3. How can I use the GCD of 678, 286, 966, 961Calculator?

Out the numbers 678, 286, 966, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.