GCD of 368, 598, 782, 716 Calculator

Given Input numbers are 368, 598, 782, 716

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

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 782 :

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

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (368, 598, 782, 716) = 2.

Given numbers are 368, 598, 782, 716

The list of prime factors of all numbers are

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 598 are 2 x 13 x 23

Prime factors of 782 are 2 x 17 x 23

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 368, 598, 782, 716 is 2.

Given numbers are 368, 598, 782, 716

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

Apply this formula for all numbers.

Step1:

LCM(368, 598) = 4784

GCD(368, 598) = ( 368 x 598 ) / 4784

= 368 / 598

= 368

Step2:

LCM(46, 782) = 782

GCD(46, 782) = ( 46 x 782 ) / 782

= 46 / 782

= 46

Step3:

LCM(46, 716) = 16468

GCD(46, 716) = ( 46 x 716 ) / 16468

= 46 / 716

= 46

So, Greatest Common Divisor of 368, 598, 782, 716 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 985, 328, 314
• GCD of 383, 784, 700, 850
• GCD of 785, 294, 938, 949
• GCD of 601, 777, 942, 162
• GCD of 808, 901, 171, 550

Given numbers are 368, 598, 782, 716
The greatest common divisor of numbers 368, 598, 782, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 598, 782, 716 is 2.

1. What is the GCD of 368, 598, 782, 716?

GCD of given numbers 368, 598, 782, 716 is 2

2. How to calculate the greatest common divisor of 368, 598, 782, 716?

We can find the highest common divisor of 368, 598, 782, 716 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 368, 598, 782, 716 i.e 2.

3. How can I use the GCD of 368, 598, 782, 716Calculator?

Out the numbers 368, 598, 782, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.