GCD of 788, 966, 172, 690 Calculator

Given Input numbers are 788, 966, 172, 690

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

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 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (788, 966, 172, 690) = 2.

Given numbers are 788, 966, 172, 690

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

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

Prime factors of 172 are 2 x 2 x 43

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 788, 966, 172, 690 is 2.

Given numbers are 788, 966, 172, 690

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

Apply this formula for all numbers.

Step1:

LCM(788, 966) = 380604

GCD(788, 966) = ( 788 x 966 ) / 380604

= 788 / 966

= 788

Step2:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

Step3:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

So, Greatest Common Divisor of 788, 966, 172, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 679, 283, 297
• GCD of 815, 529, 289, 815
• GCD of 383, 728, 167, 762
• GCD of 510, 416, 888, 552
• GCD of 761, 856, 422, 848

Given numbers are 788, 966, 172, 690
The greatest common divisor of numbers 788, 966, 172, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 966, 172, 690 is 2.

1. What is the GCD of 788, 966, 172, 690?

GCD of given numbers 788, 966, 172, 690 is 2

2. How to calculate the greatest common divisor of 788, 966, 172, 690?

We can find the highest common divisor of 788, 966, 172, 690 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 788, 966, 172, 690 i.e 2.

3. How can I use the GCD of 788, 966, 172, 690Calculator?

Out the numbers 788, 966, 172, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.