GCD of 174, 168, 406, 352 Calculator

Given Input numbers are 174, 168, 406, 352

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

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 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

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

GCD of numbers is the greatest common divisor

So, the GCD (174, 168, 406, 352) = 2.

Given numbers are 174, 168, 406, 352

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

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

Prime factors of 406 are 2 x 7 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 174, 168, 406, 352 is 2.

Given numbers are 174, 168, 406, 352

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

Apply this formula for all numbers.

Step1:

LCM(174, 168) = 4872

GCD(174, 168) = ( 174 x 168 ) / 4872

= 174 / 168

= 174

Step2:

LCM(6, 406) = 1218

GCD(6, 406) = ( 6 x 406 ) / 1218

= 6 / 406

= 6

Step3:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2

So, Greatest Common Divisor of 174, 168, 406, 352 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 295, 432, 902
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Given numbers are 174, 168, 406, 352
The greatest common divisor of numbers 174, 168, 406, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 168, 406, 352 is 2.

1. What is the GCD of 174, 168, 406, 352?

GCD of given numbers 174, 168, 406, 352 is 2

2. How to calculate the greatest common divisor of 174, 168, 406, 352?

We can find the highest common divisor of 174, 168, 406, 352 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 174, 168, 406, 352 i.e 2.

3. How can I use the GCD of 174, 168, 406, 352Calculator?

Out the numbers 174, 168, 406, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.