GCD of 168, 513, 231, 678 Calculator

Given Input numbers are 168, 513, 231, 678

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

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 (168, 513, 231, 678) = 3.

Given numbers are 168, 513, 231, 678

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 231 are 3 x 7 x 11

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 168, 513, 231, 678 is 3.

Given numbers are 168, 513, 231, 678

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

Apply this formula for all numbers.

Step1:

LCM(168, 513) = 28728

GCD(168, 513) = ( 168 x 513 ) / 28728

= 168 / 513

= 168

Step2:

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

= 3 / 231

= 3

Step3:

LCM(3, 678) = 678

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

= 3 / 678

= 3

So, Greatest Common Divisor of 168, 513, 231, 678 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 266, 982, 319
• GCD of 413, 609, 319, 757
• GCD of 307, 752, 768, 414
• GCD of 971, 646, 912, 412
• GCD of 987, 341, 394, 657

Given numbers are 168, 513, 231, 678
The greatest common divisor of numbers 168, 513, 231, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 513, 231, 678 is 3.

1. What is the GCD of 168, 513, 231, 678?

GCD of given numbers 168, 513, 231, 678 is 3

2. How to calculate the greatest common divisor of 168, 513, 231, 678?

We can find the highest common divisor of 168, 513, 231, 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 168, 513, 231, 678 i.e 3.

3. How can I use the GCD of 168, 513, 231, 678Calculator?

Out the numbers 168, 513, 231, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.