GCD of 538, 834, 198, 654 Calculator

Given Input numbers are 538, 834, 198, 654

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 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (538, 834, 198, 654) = 2.

Given numbers are 538, 834, 198, 654

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 834 are 2 x 3 x 139

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 538, 834, 198, 654 is 2.

Given numbers are 538, 834, 198, 654

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

Apply this formula for all numbers.

Step1:

LCM(538, 834) = 224346

GCD(538, 834) = ( 538 x 834 ) / 224346

= 538 / 834

= 538

Step2:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

Step3:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

So, Greatest Common Divisor of 538, 834, 198, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 231, 794, 784
• GCD of 257, 692, 296, 828
• GCD of 735, 780, 871, 261
• GCD of 914, 549, 280, 797
• GCD of 963, 178, 970, 434

Given numbers are 538, 834, 198, 654
The greatest common divisor of numbers 538, 834, 198, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 834, 198, 654 is 2.

1. What is the GCD of 538, 834, 198, 654?

GCD of given numbers 538, 834, 198, 654 is 2

2. How to calculate the greatest common divisor of 538, 834, 198, 654?

We can find the highest common divisor of 538, 834, 198, 654 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, 834, 198, 654 i.e 2.

3. How can I use the GCD of 538, 834, 198, 654Calculator?

Out the numbers 538, 834, 198, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.