GCD of 168, 786, 408, 375 Calculator

Given Input numbers are 168, 786, 408, 375

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 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

GCD of numbers is the greatest common divisor

So, the GCD (168, 786, 408, 375) = 3.

Given numbers are 168, 786, 408, 375

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 786 are 2 x 3 x 131

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 375 are 3 x 5 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 168, 786, 408, 375 is 3.

Given numbers are 168, 786, 408, 375

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

Apply this formula for all numbers.

Step1:

LCM(168, 786) = 22008

GCD(168, 786) = ( 168 x 786 ) / 22008

= 168 / 786

= 168

Step2:

LCM(6, 408) = 408

GCD(6, 408) = ( 6 x 408 ) / 408

= 6 / 408

= 6

Step3:

LCM(6, 375) = 750

GCD(6, 375) = ( 6 x 375 ) / 750

= 6 / 375

= 6

So, Greatest Common Divisor of 168, 786, 408, 375 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 540, 927, 458
• GCD of 116, 284, 666, 355
• GCD of 736, 890, 518, 621
• GCD of 291, 714, 176, 722
• GCD of 109, 397, 333, 163

Given numbers are 168, 786, 408, 375
The greatest common divisor of numbers 168, 786, 408, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 786, 408, 375 is 3.

1. What is the GCD of 168, 786, 408, 375?

GCD of given numbers 168, 786, 408, 375 is 3

2. How to calculate the greatest common divisor of 168, 786, 408, 375?

We can find the highest common divisor of 168, 786, 408, 375 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, 786, 408, 375 i.e 3.

3. How can I use the GCD of 168, 786, 408, 375Calculator?

Out the numbers 168, 786, 408, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.