GCD of 164, 790, 734, 574 Calculator

Given Input numbers are 164, 790, 734, 574

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 790 :

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

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

GCD of numbers is the greatest common divisor

So, the GCD (164, 790, 734, 574) = 2.

Given numbers are 164, 790, 734, 574

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 790 are 2 x 5 x 79

Prime factors of 734 are 2 x 367

Prime factors of 574 are 2 x 7 x 41

The highest common occurrence is 2¹

Therefore, GCD of 164, 790, 734, 574 is 2.

Given numbers are 164, 790, 734, 574

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

Apply this formula for all numbers.

Step1:

LCM(164, 790) = 64780

GCD(164, 790) = ( 164 x 790 ) / 64780

= 164 / 790

= 164

Step2:

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

= 2 / 734

= 2

Step3:

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

= 2 / 574

= 2

So, Greatest Common Divisor of 164, 790, 734, 574 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 353, 948, 210
• GCD of 322, 305, 495, 134
• GCD of 282, 805, 867, 857
• GCD of 451, 905, 978, 249
• GCD of 116, 561, 766, 188

Given numbers are 164, 790, 734, 574
The greatest common divisor of numbers 164, 790, 734, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 790, 734, 574 is 2.

1. What is the GCD of 164, 790, 734, 574?

GCD of given numbers 164, 790, 734, 574 is 2

2. How to calculate the greatest common divisor of 164, 790, 734, 574?

We can find the highest common divisor of 164, 790, 734, 574 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, 790, 734, 574 i.e 2.

3. How can I use the GCD of 164, 790, 734, 574Calculator?

Out the numbers 164, 790, 734, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.