GCD of 132, 558, 734, 774 Calculator

Given Input numbers are 132, 558, 734, 774

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 734 :

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

1, 2, 367, 734

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

GCD of numbers is the greatest common divisor

So, the GCD (132, 558, 734, 774) = 2.

Given numbers are 132, 558, 734, 774

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 734 are 2 x 367

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

The highest common occurrence is 2¹

Therefore, GCD of 132, 558, 734, 774 is 2.

Given numbers are 132, 558, 734, 774

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

Apply this formula for all numbers.

Step1:

LCM(132, 558) = 12276

GCD(132, 558) = ( 132 x 558 ) / 12276

= 132 / 558

= 132

Step2:

LCM(6, 734) = 2202

GCD(6, 734) = ( 6 x 734 ) / 2202

= 6 / 734

= 6

Step3:

LCM(2, 774) = 774

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

= 2 / 774

= 2

So, Greatest Common Divisor of 132, 558, 734, 774 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 547, 614, 860
• GCD of 640, 463, 851, 883
• GCD of 908, 836, 526, 147
• GCD of 968, 360, 675, 726
• GCD of 602, 984, 776, 255

Given numbers are 132, 558, 734, 774
The greatest common divisor of numbers 132, 558, 734, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 558, 734, 774 is 2.

1. What is the GCD of 132, 558, 734, 774?

GCD of given numbers 132, 558, 734, 774 is 2

2. How to calculate the greatest common divisor of 132, 558, 734, 774?

We can find the highest common divisor of 132, 558, 734, 774 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 132, 558, 734, 774 i.e 2.

3. How can I use the GCD of 132, 558, 734, 774Calculator?

Out the numbers 132, 558, 734, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.