GCD of 168, 252, 678 Calculator

Given Input numbers are 168, 252, 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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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, 252, 678) = 6.

Given numbers are 168, 252, 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 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 168, 252, 678 is 6.

Given numbers are 168, 252, 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, 252) = 504

GCD(168, 252) = ( 168 x 252 ) / 504

= 168 / 252

= 168

Step2:

LCM(84, 678) = 9492

GCD(84, 678) = ( 84 x 678 ) / 9492

= 84 / 678

= 84

So, Greatest Common Divisor of 168, 252, 678 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 989, 558
• GCD of 275, 209, 930
• GCD of 810, 591, 874
• GCD of 335, 656, 278
• GCD of 803, 514, 847

Given numbers are 168, 252, 678
The greatest common divisor of numbers 168, 252, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 252, 678 is 6.

1. What is the GCD of 168, 252, 678?

GCD of given numbers 168, 252, 678 is 6

2. How to calculate the greatest common divisor of 168, 252, 678?

We can find the highest common divisor of 168, 252, 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, 252, 678 i.e 6.

3. How can I use the GCD of 168, 252, 678Calculator?

Out the numbers 168, 252, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.