GCD of 782, 844, 274, 936 Calculator

Given Input numbers are 782, 844, 274, 936

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 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

GCD of numbers is the greatest common divisor

So, the GCD (782, 844, 274, 936) = 2.

Given numbers are 782, 844, 274, 936

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 844 are 2 x 2 x 211

Prime factors of 274 are 2 x 137

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 782, 844, 274, 936 is 2.

Given numbers are 782, 844, 274, 936

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

Apply this formula for all numbers.

Step1:

LCM(782, 844) = 330004

GCD(782, 844) = ( 782 x 844 ) / 330004

= 782 / 844

= 782

Step2:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

Step3:

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

= 2 / 936

= 2

So, Greatest Common Divisor of 782, 844, 274, 936 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 950, 844, 908
• GCD of 187, 779, 473, 710
• GCD of 341, 287, 837, 845
• GCD of 282, 886, 265, 206
• GCD of 555, 460, 976, 891

Given numbers are 782, 844, 274, 936
The greatest common divisor of numbers 782, 844, 274, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 844, 274, 936 is 2.

1. What is the GCD of 782, 844, 274, 936?

GCD of given numbers 782, 844, 274, 936 is 2

2. How to calculate the greatest common divisor of 782, 844, 274, 936?

We can find the highest common divisor of 782, 844, 274, 936 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, 844, 274, 936 i.e 2.

3. How can I use the GCD of 782, 844, 274, 936Calculator?

Out the numbers 782, 844, 274, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.