GCD of 894, 352, 132, 156 Calculator

Given Input numbers are 894, 352, 132, 156

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

Divisors of 894 :

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

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (894, 352, 132, 156) = 2.

Given numbers are 894, 352, 132, 156

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 156 are 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 894, 352, 132, 156 is 2.

Given numbers are 894, 352, 132, 156

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

Apply this formula for all numbers.

Step1:

LCM(894, 352) = 157344

GCD(894, 352) = ( 894 x 352 ) / 157344

= 894 / 352

= 894

Step2:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

Step3:

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

= 2 / 156

= 2

So, Greatest Common Divisor of 894, 352, 132, 156 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 143, 361, 146
• GCD of 461, 800, 108, 947
• GCD of 619, 522, 258, 454
• GCD of 822, 450, 164, 736
• GCD of 767, 557, 286, 792

Given numbers are 894, 352, 132, 156
The greatest common divisor of numbers 894, 352, 132, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 352, 132, 156 is 2.

1. What is the GCD of 894, 352, 132, 156?

GCD of given numbers 894, 352, 132, 156 is 2

2. How to calculate the greatest common divisor of 894, 352, 132, 156?

We can find the highest common divisor of 894, 352, 132, 156 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 894, 352, 132, 156 i.e 2.

3. How can I use the GCD of 894, 352, 132, 156Calculator?

Out the numbers 894, 352, 132, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.