GCD of 178, 726, 774, 990 Calculator

Given Input numbers are 178, 726, 774, 990

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

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (178, 726, 774, 990) = 2.

Given numbers are 178, 726, 774, 990

The list of prime factors of all numbers are

Prime factors of 178 are 2 x 89

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 178, 726, 774, 990 is 2.

Given numbers are 178, 726, 774, 990

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

Apply this formula for all numbers.

Step1:

LCM(178, 726) = 64614

GCD(178, 726) = ( 178 x 726 ) / 64614

= 178 / 726

= 178

Step2:

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

= 2 / 774

= 2

Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

So, Greatest Common Divisor of 178, 726, 774, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 119, 681, 364
• GCD of 339, 664, 101, 263
• GCD of 515, 376, 546, 373
• GCD of 458, 531, 546, 842
• GCD of 525, 560, 316, 167

Given numbers are 178, 726, 774, 990
The greatest common divisor of numbers 178, 726, 774, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 726, 774, 990 is 2.

1. What is the GCD of 178, 726, 774, 990?

GCD of given numbers 178, 726, 774, 990 is 2

2. How to calculate the greatest common divisor of 178, 726, 774, 990?

We can find the highest common divisor of 178, 726, 774, 990 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 178, 726, 774, 990 i.e 2.

3. How can I use the GCD of 178, 726, 774, 990Calculator?

Out the numbers 178, 726, 774, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.