GCD of 782, 808, 294, 372 Calculator

Given Input numbers are 782, 808, 294, 372

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 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

GCD of numbers is the greatest common divisor

So, the GCD (782, 808, 294, 372) = 2.

Given numbers are 782, 808, 294, 372

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 372 are 2 x 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 782, 808, 294, 372 is 2.

Given numbers are 782, 808, 294, 372

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

Apply this formula for all numbers.

Step1:

LCM(782, 808) = 315928

GCD(782, 808) = ( 782 x 808 ) / 315928

= 782 / 808

= 782

Step2:

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

= 2 / 294

= 2

Step3:

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

= 2 / 372

= 2

So, Greatest Common Divisor of 782, 808, 294, 372 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 365, 130, 997
• GCD of 242, 197, 394, 778
• GCD of 109, 586, 111, 518
• GCD of 783, 188, 938, 859
• GCD of 236, 952, 412, 310

Given numbers are 782, 808, 294, 372
The greatest common divisor of numbers 782, 808, 294, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 808, 294, 372 is 2.

1. What is the GCD of 782, 808, 294, 372?

GCD of given numbers 782, 808, 294, 372 is 2

2. How to calculate the greatest common divisor of 782, 808, 294, 372?

We can find the highest common divisor of 782, 808, 294, 372 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, 808, 294, 372 i.e 2.

3. How can I use the GCD of 782, 808, 294, 372Calculator?

Out the numbers 782, 808, 294, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.