GCD of 532, 594, 974, 198 Calculator

Given Input numbers are 532, 594, 974, 198

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

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

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

GCD of numbers is the greatest common divisor

So, the GCD (532, 594, 974, 198) = 2.

Given numbers are 532, 594, 974, 198

The list of prime factors of all numbers are

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 974 are 2 x 487

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

The highest common occurrence is 2¹

Therefore, GCD of 532, 594, 974, 198 is 2.

Given numbers are 532, 594, 974, 198

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

Apply this formula for all numbers.

Step1:

LCM(532, 594) = 158004

GCD(532, 594) = ( 532 x 594 ) / 158004

= 532 / 594

= 532

Step2:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

Step3:

LCM(2, 198) = 198

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

= 2 / 198

= 2

So, Greatest Common Divisor of 532, 594, 974, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 790, 145, 596
• GCD of 711, 802, 826, 900
• GCD of 949, 457, 195, 729
• GCD of 221, 297, 333, 630
• GCD of 605, 622, 294, 391

Given numbers are 532, 594, 974, 198
The greatest common divisor of numbers 532, 594, 974, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 594, 974, 198 is 2.

1. What is the GCD of 532, 594, 974, 198?

GCD of given numbers 532, 594, 974, 198 is 2

2. How to calculate the greatest common divisor of 532, 594, 974, 198?

We can find the highest common divisor of 532, 594, 974, 198 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 532, 594, 974, 198 i.e 2.

3. How can I use the GCD of 532, 594, 974, 198Calculator?

Out the numbers 532, 594, 974, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.