GCD of 790, 348, 446, 174 Calculator

Given Input numbers are 790, 348, 446, 174

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

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 174 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (790, 348, 446, 174) = 2.

Given numbers are 790, 348, 446, 174

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 446 are 2 x 223

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 790, 348, 446, 174 is 2.

Given numbers are 790, 348, 446, 174

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

Apply this formula for all numbers.

Step1:

LCM(790, 348) = 137460

GCD(790, 348) = ( 790 x 348 ) / 137460

= 790 / 348

= 790

Step2:

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

= 2 / 446

= 2

Step3:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

So, Greatest Common Divisor of 790, 348, 446, 174 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 761, 384, 643
• GCD of 989, 899, 448, 882
• GCD of 852, 184, 272, 484
• GCD of 886, 806, 408, 123
• GCD of 503, 440, 423, 429

Given numbers are 790, 348, 446, 174
The greatest common divisor of numbers 790, 348, 446, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 348, 446, 174 is 2.

1. What is the GCD of 790, 348, 446, 174?

GCD of given numbers 790, 348, 446, 174 is 2

2. How to calculate the greatest common divisor of 790, 348, 446, 174?

We can find the highest common divisor of 790, 348, 446, 174 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 790, 348, 446, 174 i.e 2.

3. How can I use the GCD of 790, 348, 446, 174Calculator?

Out the numbers 790, 348, 446, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.