GCD of 906, 339, 420, 168 Calculator

Given Input numbers are 906, 339, 420, 168

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

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 339 :

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

1, 3, 113, 339

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

GCD of numbers is the greatest common divisor

So, the GCD (906, 339, 420, 168) = 3.

Given numbers are 906, 339, 420, 168

The list of prime factors of all numbers are

Prime factors of 906 are 2 x 3 x 151

Prime factors of 339 are 3 x 113

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 906, 339, 420, 168 is 3.

Given numbers are 906, 339, 420, 168

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

Apply this formula for all numbers.

Step1:

LCM(906, 339) = 102378

GCD(906, 339) = ( 906 x 339 ) / 102378

= 906 / 339

= 906

Step2:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

Step3:

LCM(3, 168) = 168

GCD(3, 168) = ( 3 x 168 ) / 168

= 3 / 168

= 3

So, Greatest Common Divisor of 906, 339, 420, 168 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 101, 245, 296
• GCD of 810, 406, 370, 478
• GCD of 919, 302, 917, 942
• GCD of 506, 950, 804, 312
• GCD of 121, 801, 635, 248

Given numbers are 906, 339, 420, 168
The greatest common divisor of numbers 906, 339, 420, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 906, 339, 420, 168 is 3.

1. What is the GCD of 906, 339, 420, 168?

GCD of given numbers 906, 339, 420, 168 is 3

2. How to calculate the greatest common divisor of 906, 339, 420, 168?

We can find the highest common divisor of 906, 339, 420, 168 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 906, 339, 420, 168 i.e 3.

3. How can I use the GCD of 906, 339, 420, 168Calculator?

Out the numbers 906, 339, 420, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.