GCD of 966, 696, 654, 614 Calculator

Given Input numbers are 966, 696, 654, 614

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

GCD of numbers is the greatest common divisor

So, the GCD (966, 696, 654, 614) = 2.

Given numbers are 966, 696, 654, 614

The list of prime factors of all numbers are

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

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 654 are 2 x 3 x 109

Prime factors of 614 are 2 x 307

The highest common occurrence is 2¹

Therefore, GCD of 966, 696, 654, 614 is 2.

Given numbers are 966, 696, 654, 614

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

Apply this formula for all numbers.

Step1:

LCM(966, 696) = 112056

GCD(966, 696) = ( 966 x 696 ) / 112056

= 966 / 696

= 966

Step2:

LCM(6, 654) = 654

GCD(6, 654) = ( 6 x 654 ) / 654

= 6 / 654

= 6

Step3:

LCM(6, 614) = 1842

GCD(6, 614) = ( 6 x 614 ) / 1842

= 6 / 614

= 6

So, Greatest Common Divisor of 966, 696, 654, 614 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 460, 621, 198
• GCD of 691, 508, 996, 412
• GCD of 335, 905, 941, 102
• GCD of 631, 253, 244, 243
• GCD of 890, 561, 501, 258

Given numbers are 966, 696, 654, 614
The greatest common divisor of numbers 966, 696, 654, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 696, 654, 614 is 2.

1. What is the GCD of 966, 696, 654, 614?

GCD of given numbers 966, 696, 654, 614 is 2

2. How to calculate the greatest common divisor of 966, 696, 654, 614?

We can find the highest common divisor of 966, 696, 654, 614 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, 696, 654, 614 i.e 2.

3. How can I use the GCD of 966, 696, 654, 614Calculator?

Out the numbers 966, 696, 654, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.