GCD of 472, 124, 596, 828 Calculator

Given Input numbers are 472, 124, 596, 828

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 124 :

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

1, 2, 4, 31, 62, 124

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

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

GCD of numbers is the greatest common divisor

So, the GCD (472, 124, 596, 828) = 4.

Given numbers are 472, 124, 596, 828

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 124 are 2 x 2 x 31

Prime factors of 596 are 2 x 2 x 149

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

The highest common occurrence is 2²

Therefore, GCD of 472, 124, 596, 828 is 4.

Given numbers are 472, 124, 596, 828

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

Apply this formula for all numbers.

Step1:

LCM(472, 124) = 14632

GCD(472, 124) = ( 472 x 124 ) / 14632

= 472 / 124

= 472

Step2:

LCM(4, 596) = 596

GCD(4, 596) = ( 4 x 596 ) / 596

= 4 / 596

= 4

Step3:

LCM(4, 828) = 828

GCD(4, 828) = ( 4 x 828 ) / 828

= 4 / 828

= 4

So, Greatest Common Divisor of 472, 124, 596, 828 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 126, 196, 232
• GCD of 804, 229, 548, 716
• GCD of 589, 901, 743, 206
• GCD of 391, 940, 995, 599
• GCD of 526, 683, 217, 258

Given numbers are 472, 124, 596, 828
The greatest common divisor of numbers 472, 124, 596, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 124, 596, 828 is 4.

1. What is the GCD of 472, 124, 596, 828?

GCD of given numbers 472, 124, 596, 828 is 4

2. How to calculate the greatest common divisor of 472, 124, 596, 828?

We can find the highest common divisor of 472, 124, 596, 828 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 472, 124, 596, 828 i.e 4.

3. How can I use the GCD of 472, 124, 596, 828Calculator?

Out the numbers 472, 124, 596, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.