GCD of 782, 616, 966, 364 Calculator

Given Input numbers are 782, 616, 966, 364

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (782, 616, 966, 364) = 2.

Given numbers are 782, 616, 966, 364

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 782, 616, 966, 364 is 2.

Given numbers are 782, 616, 966, 364

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

Apply this formula for all numbers.

Step1:

LCM(782, 616) = 240856

GCD(782, 616) = ( 782 x 616 ) / 240856

= 782 / 616

= 782

Step2:

LCM(2, 966) = 966

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

= 2 / 966

= 2

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 782, 616, 966, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 405, 849, 808
• GCD of 430, 532, 551, 522
• GCD of 648, 997, 275, 365
• GCD of 177, 378, 233, 958
• GCD of 446, 443, 861, 454

Given numbers are 782, 616, 966, 364
The greatest common divisor of numbers 782, 616, 966, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 616, 966, 364 is 2.

1. What is the GCD of 782, 616, 966, 364?

GCD of given numbers 782, 616, 966, 364 is 2

2. How to calculate the greatest common divisor of 782, 616, 966, 364?

We can find the highest common divisor of 782, 616, 966, 364 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 782, 616, 966, 364 i.e 2.

3. How can I use the GCD of 782, 616, 966, 364Calculator?

Out the numbers 782, 616, 966, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.