GCD of 364, 782, 578, 798 Calculator

Given Input numbers are 364, 782, 578, 798

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 782 :

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

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

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (364, 782, 578, 798) = 2.

Given numbers are 364, 782, 578, 798

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 782 are 2 x 17 x 23

Prime factors of 578 are 2 x 17 x 17

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 364, 782, 578, 798 is 2.

Given numbers are 364, 782, 578, 798

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

Apply this formula for all numbers.

Step1:

LCM(364, 782) = 142324

GCD(364, 782) = ( 364 x 782 ) / 142324

= 364 / 782

= 364

Step2:

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

= 2 / 578

= 2

Step3:

LCM(2, 798) = 798

GCD(2, 798) = ( 2 x 798 ) / 798

= 2 / 798

= 2

So, Greatest Common Divisor of 364, 782, 578, 798 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 185, 226, 298
• GCD of 181, 410, 999, 657
• GCD of 357, 194, 186, 774
• GCD of 835, 792, 536, 980
• GCD of 886, 831, 530, 695

Given numbers are 364, 782, 578, 798
The greatest common divisor of numbers 364, 782, 578, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 782, 578, 798 is 2.

1. What is the GCD of 364, 782, 578, 798?

GCD of given numbers 364, 782, 578, 798 is 2

2. How to calculate the greatest common divisor of 364, 782, 578, 798?

We can find the highest common divisor of 364, 782, 578, 798 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 364, 782, 578, 798 i.e 2.

3. How can I use the GCD of 364, 782, 578, 798Calculator?

Out the numbers 364, 782, 578, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.