GCD of 828, 230, 744, 314 Calculator

Given Input numbers are 828, 230, 744, 314

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 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (828, 230, 744, 314) = 2.

Given numbers are 828, 230, 744, 314

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 230 are 2 x 5 x 23

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 828, 230, 744, 314 is 2.

Given numbers are 828, 230, 744, 314

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

Apply this formula for all numbers.

Step1:

LCM(828, 230) = 4140

GCD(828, 230) = ( 828 x 230 ) / 4140

= 828 / 230

= 828

Step2:

LCM(46, 744) = 17112

GCD(46, 744) = ( 46 x 744 ) / 17112

= 46 / 744

= 46

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 828, 230, 744, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 233, 426, 821
• GCD of 126, 652, 710, 837
• GCD of 773, 410, 805, 996
• GCD of 979, 494, 316, 504
• GCD of 501, 108, 368, 813

Given numbers are 828, 230, 744, 314
The greatest common divisor of numbers 828, 230, 744, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 230, 744, 314 is 2.

1. What is the GCD of 828, 230, 744, 314?

GCD of given numbers 828, 230, 744, 314 is 2

2. How to calculate the greatest common divisor of 828, 230, 744, 314?

We can find the highest common divisor of 828, 230, 744, 314 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, 230, 744, 314 i.e 2.

3. How can I use the GCD of 828, 230, 744, 314Calculator?

Out the numbers 828, 230, 744, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.