GCD of 724, 424, 188, 844 Calculator

Given Input numbers are 724, 424, 188, 844

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

GCD of numbers is the greatest common divisor

So, the GCD (724, 424, 188, 844) = 4.

Given numbers are 724, 424, 188, 844

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 188 are 2 x 2 x 47

Prime factors of 844 are 2 x 2 x 211

The highest common occurrence is 2²

Therefore, GCD of 724, 424, 188, 844 is 4.

Given numbers are 724, 424, 188, 844

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

Apply this formula for all numbers.

Step1:

LCM(724, 424) = 76744

GCD(724, 424) = ( 724 x 424 ) / 76744

= 724 / 424

= 724

Step2:

LCM(4, 188) = 188

GCD(4, 188) = ( 4 x 188 ) / 188

= 4 / 188

= 4

Step3:

LCM(4, 844) = 844

GCD(4, 844) = ( 4 x 844 ) / 844

= 4 / 844

= 4

So, Greatest Common Divisor of 724, 424, 188, 844 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 241, 715, 896
• GCD of 167, 988, 706, 581
• GCD of 647, 322, 206, 457
• GCD of 617, 372, 437, 594
• GCD of 805, 189, 711, 245

Given numbers are 724, 424, 188, 844
The greatest common divisor of numbers 724, 424, 188, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 424, 188, 844 is 4.

1. What is the GCD of 724, 424, 188, 844?

GCD of given numbers 724, 424, 188, 844 is 4

2. How to calculate the greatest common divisor of 724, 424, 188, 844?

We can find the highest common divisor of 724, 424, 188, 844 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 724, 424, 188, 844 i.e 4.

3. How can I use the GCD of 724, 424, 188, 844Calculator?

Out the numbers 724, 424, 188, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.