GCD of 510, 159, 678, 612 Calculator

Given Input numbers are 510, 159, 678, 612

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

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 678 :

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

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

GCD of numbers is the greatest common divisor

So, the GCD (510, 159, 678, 612) = 3.

Given numbers are 510, 159, 678, 612

The list of prime factors of all numbers are

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 159 are 3 x 53

Prime factors of 678 are 2 x 3 x 113

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 510, 159, 678, 612 is 3.

Given numbers are 510, 159, 678, 612

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

Apply this formula for all numbers.

Step1:

LCM(510, 159) = 27030

GCD(510, 159) = ( 510 x 159 ) / 27030

= 510 / 159

= 510

Step2:

LCM(3, 678) = 678

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

= 3 / 678

= 3

Step3:

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

= 3 / 612

= 3

So, Greatest Common Divisor of 510, 159, 678, 612 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 703, 598, 738
• GCD of 939, 763, 273, 506
• GCD of 166, 190, 482, 361
• GCD of 258, 636, 483, 210
• GCD of 550, 303, 170, 212

Given numbers are 510, 159, 678, 612
The greatest common divisor of numbers 510, 159, 678, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 159, 678, 612 is 3.

1. What is the GCD of 510, 159, 678, 612?

GCD of given numbers 510, 159, 678, 612 is 3

2. How to calculate the greatest common divisor of 510, 159, 678, 612?

We can find the highest common divisor of 510, 159, 678, 612 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 510, 159, 678, 612 i.e 3.

3. How can I use the GCD of 510, 159, 678, 612Calculator?

Out the numbers 510, 159, 678, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.