GCD of 782, 731, 288, 684 Calculator

Given Input numbers are 782, 731, 288, 684

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 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (782, 731, 288, 684) = 1.

Given numbers are 782, 731, 288, 684

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 731 are 17 x 43

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 782, 731, 288, 684

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

Apply this formula for all numbers.

Step1:

LCM(782, 731) = 33626

GCD(782, 731) = ( 782 x 731 ) / 33626

= 782 / 731

= 782

Step2:

LCM(17, 288) = 4896

GCD(17, 288) = ( 17 x 288 ) / 4896

= 17 / 288

= 17

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 782, 731, 288, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 760, 146, 707
• GCD of 609, 430, 561, 886
• GCD of 302, 490, 244, 345
• GCD of 922, 458, 294, 594
• GCD of 658, 499, 848, 320

Given numbers are 782, 731, 288, 684
The greatest common divisor of numbers 782, 731, 288, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 731, 288, 684 is 1.

1. What is the GCD of 782, 731, 288, 684?

GCD of given numbers 782, 731, 288, 684 is 1

2. How to calculate the greatest common divisor of 782, 731, 288, 684?

We can find the highest common divisor of 782, 731, 288, 684 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, 731, 288, 684 i.e 1.

3. How can I use the GCD of 782, 731, 288, 684Calculator?

Out the numbers 782, 731, 288, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.