GCD of 564, 574, 668, 542 Calculator

Given Input numbers are 564, 574, 668, 542

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 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

GCD of numbers is the greatest common divisor

So, the GCD (564, 574, 668, 542) = 2.

Given numbers are 564, 574, 668, 542

The list of prime factors of all numbers are

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

Prime factors of 574 are 2 x 7 x 41

Prime factors of 668 are 2 x 2 x 167

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 564, 574, 668, 542 is 2.

Given numbers are 564, 574, 668, 542

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

Apply this formula for all numbers.

Step1:

LCM(564, 574) = 161868

GCD(564, 574) = ( 564 x 574 ) / 161868

= 564 / 574

= 564

Step2:

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

= 2 / 668

= 2

Step3:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

So, Greatest Common Divisor of 564, 574, 668, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 609, 475, 835
• GCD of 448, 529, 303, 370
• GCD of 214, 679, 256, 444
• GCD of 910, 718, 263, 843
• GCD of 577, 510, 460, 471

Given numbers are 564, 574, 668, 542
The greatest common divisor of numbers 564, 574, 668, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 574, 668, 542 is 2.

1. What is the GCD of 564, 574, 668, 542?

GCD of given numbers 564, 574, 668, 542 is 2

2. How to calculate the greatest common divisor of 564, 574, 668, 542?

We can find the highest common divisor of 564, 574, 668, 542 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, 574, 668, 542 i.e 2.

3. How can I use the GCD of 564, 574, 668, 542Calculator?

Out the numbers 564, 574, 668, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.