GCD of 876, 508, 894, 162 Calculator

Given Input numbers are 876, 508, 894, 162

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (876, 508, 894, 162) = 2.

Given numbers are 876, 508, 894, 162

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 508 are 2 x 2 x 127

Prime factors of 894 are 2 x 3 x 149

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 876, 508, 894, 162 is 2.

Given numbers are 876, 508, 894, 162

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

Apply this formula for all numbers.

Step1:

LCM(876, 508) = 111252

GCD(876, 508) = ( 876 x 508 ) / 111252

= 876 / 508

= 876

Step2:

LCM(4, 894) = 1788

GCD(4, 894) = ( 4 x 894 ) / 1788

= 4 / 894

= 4

Step3:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

So, Greatest Common Divisor of 876, 508, 894, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 440, 903, 364
• GCD of 409, 557, 871, 360
• GCD of 907, 905, 112, 435
• GCD of 678, 325, 908, 839
• GCD of 108, 464, 108, 391

Given numbers are 876, 508, 894, 162
The greatest common divisor of numbers 876, 508, 894, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 508, 894, 162 is 2.

1. What is the GCD of 876, 508, 894, 162?

GCD of given numbers 876, 508, 894, 162 is 2

2. How to calculate the greatest common divisor of 876, 508, 894, 162?

We can find the highest common divisor of 876, 508, 894, 162 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 876, 508, 894, 162 i.e 2.

3. How can I use the GCD of 876, 508, 894, 162Calculator?

Out the numbers 876, 508, 894, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.