GCD of 264, 942, 468, 558 Calculator

Given Input numbers are 264, 942, 468, 558

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (264, 942, 468, 558) = 6.

Given numbers are 264, 942, 468, 558

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 942 are 2 x 3 x 157

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 264, 942, 468, 558 is 6.

Given numbers are 264, 942, 468, 558

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

Apply this formula for all numbers.

Step1:

LCM(264, 942) = 41448

GCD(264, 942) = ( 264 x 942 ) / 41448

= 264 / 942

= 264

Step2:

LCM(6, 468) = 468

GCD(6, 468) = ( 6 x 468 ) / 468

= 6 / 468

= 6

Step3:

LCM(6, 558) = 558

GCD(6, 558) = ( 6 x 558 ) / 558

= 6 / 558

= 6

So, Greatest Common Divisor of 264, 942, 468, 558 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 694, 716, 308
• GCD of 146, 216, 793, 545
• GCD of 854, 315, 819, 376
• GCD of 302, 684, 847, 607
• GCD of 388, 990, 325, 534

Given numbers are 264, 942, 468, 558
The greatest common divisor of numbers 264, 942, 468, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 942, 468, 558 is 6.

1. What is the GCD of 264, 942, 468, 558?

GCD of given numbers 264, 942, 468, 558 is 6

2. How to calculate the greatest common divisor of 264, 942, 468, 558?

We can find the highest common divisor of 264, 942, 468, 558 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 264, 942, 468, 558 i.e 6.

3. How can I use the GCD of 264, 942, 468, 558Calculator?

Out the numbers 264, 942, 468, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.