GCD of 178, 832, 852, 344 Calculator

Given Input numbers are 178, 832, 852, 344

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

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (178, 832, 852, 344) = 2.

Given numbers are 178, 832, 852, 344

The list of prime factors of all numbers are

Prime factors of 178 are 2 x 89

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 178, 832, 852, 344 is 2.

Given numbers are 178, 832, 852, 344

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

Apply this formula for all numbers.

Step1:

LCM(178, 832) = 74048

GCD(178, 832) = ( 178 x 832 ) / 74048

= 178 / 832

= 178

Step2:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

Step3:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

So, Greatest Common Divisor of 178, 832, 852, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 996, 286, 877
• GCD of 768, 106, 854, 383
• GCD of 460, 552, 679, 156
• GCD of 774, 539, 538, 181
• GCD of 847, 570, 650, 339

Given numbers are 178, 832, 852, 344
The greatest common divisor of numbers 178, 832, 852, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 832, 852, 344 is 2.

1. What is the GCD of 178, 832, 852, 344?

GCD of given numbers 178, 832, 852, 344 is 2

2. How to calculate the greatest common divisor of 178, 832, 852, 344?

We can find the highest common divisor of 178, 832, 852, 344 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 178, 832, 852, 344 i.e 2.

3. How can I use the GCD of 178, 832, 852, 344Calculator?

Out the numbers 178, 832, 852, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.