GCD of 164, 174, 20, 358 Calculator

Given Input numbers are 164, 174, 20, 358

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 174 :

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

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

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (164, 174, 20, 358) = 2.

Given numbers are 164, 174, 20, 358

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 174 are 2 x 3 x 29

Prime factors of 20 are 2 x 2 x 5

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 164, 174, 20, 358 is 2.

Given numbers are 164, 174, 20, 358

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

Apply this formula for all numbers.

Step1:

LCM(164, 174) = 14268

GCD(164, 174) = ( 164 x 174 ) / 14268

= 164 / 174

= 164

Step2:

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

= 2 / 20

= 2

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 164, 174, 20, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 874, 48, 364
• GCD of 472, 497, 78, 146
• GCD of 844, 975, 36, 624
• GCD of 672, 940, 13, 707
• GCD of 897, 852, 89, 965

Given numbers are 164, 174, 20, 358
The greatest common divisor of numbers 164, 174, 20, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 174, 20, 358 is 2.

1. What is the GCD of 164, 174, 20, 358?

GCD of given numbers 164, 174, 20, 358 is 2

2. How to calculate the greatest common divisor of 164, 174, 20, 358?

We can find the highest common divisor of 164, 174, 20, 358 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 164, 174, 20, 358 i.e 2.

3. How can I use the GCD of 164, 174, 20, 358Calculator?

Out the numbers 164, 174, 20, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.