GCD of 538, 474, 204, 680 Calculator

Given Input numbers are 538, 474, 204, 680

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (538, 474, 204, 680) = 2.

Given numbers are 538, 474, 204, 680

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 474 are 2 x 3 x 79

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

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 538, 474, 204, 680 is 2.

Given numbers are 538, 474, 204, 680

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

Apply this formula for all numbers.

Step1:

LCM(538, 474) = 127506

GCD(538, 474) = ( 538 x 474 ) / 127506

= 538 / 474

= 538

Step2:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 538, 474, 204, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 811, 210, 808
• GCD of 171, 617, 991, 752
• GCD of 533, 298, 310, 173
• GCD of 450, 221, 236, 130
• GCD of 618, 625, 370, 471

Given numbers are 538, 474, 204, 680
The greatest common divisor of numbers 538, 474, 204, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 474, 204, 680 is 2.

1. What is the GCD of 538, 474, 204, 680?

GCD of given numbers 538, 474, 204, 680 is 2

2. How to calculate the greatest common divisor of 538, 474, 204, 680?

We can find the highest common divisor of 538, 474, 204, 680 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 538, 474, 204, 680 i.e 2.

3. How can I use the GCD of 538, 474, 204, 680Calculator?

Out the numbers 538, 474, 204, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.