GCD of 828, 124, 218, 696 Calculator

Given Input numbers are 828, 124, 218, 696

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 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

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

GCD of numbers is the greatest common divisor

So, the GCD (828, 124, 218, 696) = 2.

Given numbers are 828, 124, 218, 696

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 124 are 2 x 2 x 31

Prime factors of 218 are 2 x 109

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

The highest common occurrence is 2¹

Therefore, GCD of 828, 124, 218, 696 is 2.

Given numbers are 828, 124, 218, 696

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

Apply this formula for all numbers.

Step1:

LCM(828, 124) = 25668

GCD(828, 124) = ( 828 x 124 ) / 25668

= 828 / 124

= 828

Step2:

LCM(4, 218) = 436

GCD(4, 218) = ( 4 x 218 ) / 436

= 4 / 218

= 4

Step3:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

So, Greatest Common Divisor of 828, 124, 218, 696 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 295, 521, 640
• GCD of 980, 528, 575, 359
• GCD of 437, 377, 447, 586
• GCD of 462, 128, 738, 386
• GCD of 566, 379, 943, 507

Given numbers are 828, 124, 218, 696
The greatest common divisor of numbers 828, 124, 218, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 124, 218, 696 is 2.

1. What is the GCD of 828, 124, 218, 696?

GCD of given numbers 828, 124, 218, 696 is 2

2. How to calculate the greatest common divisor of 828, 124, 218, 696?

We can find the highest common divisor of 828, 124, 218, 696 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, 124, 218, 696 i.e 2.

3. How can I use the GCD of 828, 124, 218, 696Calculator?

Out the numbers 828, 124, 218, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.