GCD of 628, 204, 878, 724 Calculator

Given Input numbers are 628, 204, 878, 724

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (628, 204, 878, 724) = 2.

Given numbers are 628, 204, 878, 724

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 878 are 2 x 439

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 628, 204, 878, 724 is 2.

Given numbers are 628, 204, 878, 724

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

Apply this formula for all numbers.

Step1:

LCM(628, 204) = 32028

GCD(628, 204) = ( 628 x 204 ) / 32028

= 628 / 204

= 628

Step2:

LCM(4, 878) = 1756

GCD(4, 878) = ( 4 x 878 ) / 1756

= 4 / 878

= 4

Step3:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 628, 204, 878, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 421, 986, 460
• GCD of 682, 777, 571, 270
• GCD of 462, 811, 911, 413
• GCD of 923, 815, 641, 253
• GCD of 814, 500, 750, 883

Given numbers are 628, 204, 878, 724
The greatest common divisor of numbers 628, 204, 878, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 204, 878, 724 is 2.

1. What is the GCD of 628, 204, 878, 724?

GCD of given numbers 628, 204, 878, 724 is 2

2. How to calculate the greatest common divisor of 628, 204, 878, 724?

We can find the highest common divisor of 628, 204, 878, 724 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 628, 204, 878, 724 i.e 2.

3. How can I use the GCD of 628, 204, 878, 724Calculator?

Out the numbers 628, 204, 878, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.