GCD of 784, 966, 794, 634 Calculator

Given Input numbers are 784, 966, 794, 634

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

GCD of numbers is the greatest common divisor

So, the GCD (784, 966, 794, 634) = 2.

Given numbers are 784, 966, 794, 634

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

Prime factors of 794 are 2 x 397

Prime factors of 634 are 2 x 317

The highest common occurrence is 2¹

Therefore, GCD of 784, 966, 794, 634 is 2.

Given numbers are 784, 966, 794, 634

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

Apply this formula for all numbers.

Step1:

LCM(784, 966) = 54096

GCD(784, 966) = ( 784 x 966 ) / 54096

= 784 / 966

= 784

Step2:

LCM(14, 794) = 5558

GCD(14, 794) = ( 14 x 794 ) / 5558

= 14 / 794

= 14

Step3:

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

= 2 / 634

= 2

So, Greatest Common Divisor of 784, 966, 794, 634 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 193, 989, 978
• GCD of 202, 632, 290, 428
• GCD of 492, 328, 800, 986
• GCD of 154, 288, 438, 688
• GCD of 578, 425, 210, 751

Given numbers are 784, 966, 794, 634
The greatest common divisor of numbers 784, 966, 794, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 966, 794, 634 is 2.

1. What is the GCD of 784, 966, 794, 634?

GCD of given numbers 784, 966, 794, 634 is 2

2. How to calculate the greatest common divisor of 784, 966, 794, 634?

We can find the highest common divisor of 784, 966, 794, 634 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 784, 966, 794, 634 i.e 2.

3. How can I use the GCD of 784, 966, 794, 634Calculator?

Out the numbers 784, 966, 794, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.