GCD of 462, 654, 596, 542 Calculator

Given Input numbers are 462, 654, 596, 542

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 654 :

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

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

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

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 (462, 654, 596, 542) = 2.

Given numbers are 462, 654, 596, 542

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 654 are 2 x 3 x 109

Prime factors of 596 are 2 x 2 x 149

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 462, 654, 596, 542 is 2.

Given numbers are 462, 654, 596, 542

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

Apply this formula for all numbers.

Step1:

LCM(462, 654) = 50358

GCD(462, 654) = ( 462 x 654 ) / 50358

= 462 / 654

= 462

Step2:

LCM(6, 596) = 1788

GCD(6, 596) = ( 6 x 596 ) / 1788

= 6 / 596

= 6

Step3:

LCM(2, 542) = 542

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

= 2 / 542

= 2

So, Greatest Common Divisor of 462, 654, 596, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 698, 233, 415
• GCD of 896, 227, 351, 700
• GCD of 217, 116, 102, 247
• GCD of 571, 764, 184, 709
• GCD of 637, 579, 107, 308

Given numbers are 462, 654, 596, 542
The greatest common divisor of numbers 462, 654, 596, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 654, 596, 542 is 2.

1. What is the GCD of 462, 654, 596, 542?

GCD of given numbers 462, 654, 596, 542 is 2

2. How to calculate the greatest common divisor of 462, 654, 596, 542?

We can find the highest common divisor of 462, 654, 596, 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 462, 654, 596, 542 i.e 2.

3. How can I use the GCD of 462, 654, 596, 542Calculator?

Out the numbers 462, 654, 596, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.