GCD of 564, 534, 196, 990 Calculator

Given Input numbers are 564, 534, 196, 990

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (564, 534, 196, 990) = 2.

Given numbers are 564, 534, 196, 990

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 534 are 2 x 3 x 89

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 564, 534, 196, 990 is 2.

Given numbers are 564, 534, 196, 990

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

Apply this formula for all numbers.

Step1:

LCM(564, 534) = 50196

GCD(564, 534) = ( 564 x 534 ) / 50196

= 564 / 534

= 564

Step2:

LCM(6, 196) = 588

GCD(6, 196) = ( 6 x 196 ) / 588

= 6 / 196

= 6

Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

So, Greatest Common Divisor of 564, 534, 196, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 120, 148, 842
• GCD of 562, 583, 203, 602
• GCD of 260, 102, 436, 567
• GCD of 783, 802, 301, 445
• GCD of 657, 356, 742, 263

Given numbers are 564, 534, 196, 990
The greatest common divisor of numbers 564, 534, 196, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 534, 196, 990 is 2.

1. What is the GCD of 564, 534, 196, 990?

GCD of given numbers 564, 534, 196, 990 is 2

2. How to calculate the greatest common divisor of 564, 534, 196, 990?

We can find the highest common divisor of 564, 534, 196, 990 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 564, 534, 196, 990 i.e 2.

3. How can I use the GCD of 564, 534, 196, 990Calculator?

Out the numbers 564, 534, 196, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.