GCD of 312, 438, 642, 498 Calculator

Given Input numbers are 312, 438, 642, 498

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

GCD of numbers is the greatest common divisor

So, the GCD (312, 438, 642, 498) = 6.

Given numbers are 312, 438, 642, 498

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 438 are 2 x 3 x 73

Prime factors of 642 are 2 x 3 x 107

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 312, 438, 642, 498 is 6.

Given numbers are 312, 438, 642, 498

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

Apply this formula for all numbers.

Step1:

LCM(312, 438) = 22776

GCD(312, 438) = ( 312 x 438 ) / 22776

= 312 / 438

= 312

Step2:

LCM(6, 642) = 642

GCD(6, 642) = ( 6 x 642 ) / 642

= 6 / 642

= 6

Step3:

LCM(6, 498) = 498

GCD(6, 498) = ( 6 x 498 ) / 498

= 6 / 498

= 6

So, Greatest Common Divisor of 312, 438, 642, 498 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 978, 620, 628
• GCD of 367, 609, 818, 231
• GCD of 406, 612, 550, 930
• GCD of 135, 956, 345, 954
• GCD of 559, 616, 458, 461

Given numbers are 312, 438, 642, 498
The greatest common divisor of numbers 312, 438, 642, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 438, 642, 498 is 6.

1. What is the GCD of 312, 438, 642, 498?

GCD of given numbers 312, 438, 642, 498 is 6

2. How to calculate the greatest common divisor of 312, 438, 642, 498?

We can find the highest common divisor of 312, 438, 642, 498 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 312, 438, 642, 498 i.e 6.

3. How can I use the GCD of 312, 438, 642, 498Calculator?

Out the numbers 312, 438, 642, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.