GCD of 496, 378, 782, 966 Calculator

Given Input numbers are 496, 378, 782, 966

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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

Divisors of 782 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (496, 378, 782, 966) = 2.

Given numbers are 496, 378, 782, 966

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

Prime factors of 782 are 2 x 17 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 496, 378, 782, 966 is 2.

Given numbers are 496, 378, 782, 966

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

Apply this formula for all numbers.

Step1:

LCM(496, 378) = 93744

GCD(496, 378) = ( 496 x 378 ) / 93744

= 496 / 378

= 496

Step2:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

Step3:

LCM(2, 966) = 966

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

= 2 / 966

= 2

So, Greatest Common Divisor of 496, 378, 782, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 155, 924, 288
• GCD of 638, 901, 628, 285
• GCD of 985, 921, 836, 345
• GCD of 217, 434, 563, 616
• GCD of 159, 936, 705, 897

Given numbers are 496, 378, 782, 966
The greatest common divisor of numbers 496, 378, 782, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 378, 782, 966 is 2.

1. What is the GCD of 496, 378, 782, 966?

GCD of given numbers 496, 378, 782, 966 is 2

2. How to calculate the greatest common divisor of 496, 378, 782, 966?

We can find the highest common divisor of 496, 378, 782, 966 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 496, 378, 782, 966 i.e 2.

3. How can I use the GCD of 496, 378, 782, 966Calculator?

Out the numbers 496, 378, 782, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.