GCD of 828, 696, 774, 598 Calculator

Given Input numbers are 828, 696, 774, 598

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 598 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (828, 696, 774, 598) = 2.

Given numbers are 828, 696, 774, 598

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 598 are 2 x 13 x 23

The highest common occurrence is 2¹

Therefore, GCD of 828, 696, 774, 598 is 2.

Given numbers are 828, 696, 774, 598

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

Apply this formula for all numbers.

Step1:

LCM(828, 696) = 48024

GCD(828, 696) = ( 828 x 696 ) / 48024

= 828 / 696

= 828

Step2:

LCM(12, 774) = 1548

GCD(12, 774) = ( 12 x 774 ) / 1548

= 12 / 774

= 12

Step3:

LCM(6, 598) = 1794

GCD(6, 598) = ( 6 x 598 ) / 1794

= 6 / 598

= 6

So, Greatest Common Divisor of 828, 696, 774, 598 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 338, 147, 317
• GCD of 185, 926, 915, 180
• GCD of 423, 777, 717, 865
• GCD of 462, 942, 690, 622
• GCD of 209, 396, 591, 653

Given numbers are 828, 696, 774, 598
The greatest common divisor of numbers 828, 696, 774, 598 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 696, 774, 598 is 2.

1. What is the GCD of 828, 696, 774, 598?

GCD of given numbers 828, 696, 774, 598 is 2

2. How to calculate the greatest common divisor of 828, 696, 774, 598?

We can find the highest common divisor of 828, 696, 774, 598 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 828, 696, 774, 598 i.e 2.

3. How can I use the GCD of 828, 696, 774, 598Calculator?

Out the numbers 828, 696, 774, 598 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.