GCD of 339, 540, 492, 678 Calculator

Given Input numbers are 339, 540, 492, 678

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

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (339, 540, 492, 678) = 3.

Given numbers are 339, 540, 492, 678

The list of prime factors of all numbers are

Prime factors of 339 are 3 x 113

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 339, 540, 492, 678 is 3.

Given numbers are 339, 540, 492, 678

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

Apply this formula for all numbers.

Step1:

LCM(339, 540) = 61020

GCD(339, 540) = ( 339 x 540 ) / 61020

= 339 / 540

= 339

Step2:

LCM(3, 492) = 492

GCD(3, 492) = ( 3 x 492 ) / 492

= 3 / 492

= 3

Step3:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

So, Greatest Common Divisor of 339, 540, 492, 678 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 444, 916, 705
• GCD of 262, 173, 286, 409
• GCD of 814, 772, 165, 935
• GCD of 618, 655, 642, 286
• GCD of 158, 999, 387, 244

Given numbers are 339, 540, 492, 678
The greatest common divisor of numbers 339, 540, 492, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 540, 492, 678 is 3.

1. What is the GCD of 339, 540, 492, 678?

GCD of given numbers 339, 540, 492, 678 is 3

2. How to calculate the greatest common divisor of 339, 540, 492, 678?

We can find the highest common divisor of 339, 540, 492, 678 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 339, 540, 492, 678 i.e 3.

3. How can I use the GCD of 339, 540, 492, 678Calculator?

Out the numbers 339, 540, 492, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.