GCD of 790, 180, 348, 656 Calculator

Given Input numbers are 790, 180, 348, 656

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

GCD of numbers is the greatest common divisor

So, the GCD (790, 180, 348, 656) = 2.

Given numbers are 790, 180, 348, 656

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 790, 180, 348, 656 is 2.

Given numbers are 790, 180, 348, 656

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

Apply this formula for all numbers.

Step1:

LCM(790, 180) = 14220

GCD(790, 180) = ( 790 x 180 ) / 14220

= 790 / 180

= 790

Step2:

LCM(10, 348) = 1740

GCD(10, 348) = ( 10 x 348 ) / 1740

= 10 / 348

= 10

Step3:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2

So, Greatest Common Divisor of 790, 180, 348, 656 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 307, 125, 186
• GCD of 755, 233, 237, 223
• GCD of 155, 280, 263, 646
• GCD of 167, 266, 279, 321
• GCD of 320, 147, 636, 135

Given numbers are 790, 180, 348, 656
The greatest common divisor of numbers 790, 180, 348, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 180, 348, 656 is 2.

1. What is the GCD of 790, 180, 348, 656?

GCD of given numbers 790, 180, 348, 656 is 2

2. How to calculate the greatest common divisor of 790, 180, 348, 656?

We can find the highest common divisor of 790, 180, 348, 656 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, 180, 348, 656 i.e 2.

3. How can I use the GCD of 790, 180, 348, 656Calculator?

Out the numbers 790, 180, 348, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.