GCD of 132, 678, 594, 710 Calculator

Given Input numbers are 132, 678, 594, 710

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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

GCD of numbers is the greatest common divisor

So, the GCD (132, 678, 594, 710) = 2.

Given numbers are 132, 678, 594, 710

The list of prime factors of all numbers are

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

Prime factors of 678 are 2 x 3 x 113

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 710 are 2 x 5 x 71

The highest common occurrence is 2¹

Therefore, GCD of 132, 678, 594, 710 is 2.

Given numbers are 132, 678, 594, 710

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

Apply this formula for all numbers.

Step1:

LCM(132, 678) = 14916

GCD(132, 678) = ( 132 x 678 ) / 14916

= 132 / 678

= 132

Step2:

LCM(6, 594) = 594

GCD(6, 594) = ( 6 x 594 ) / 594

= 6 / 594

= 6

Step3:

LCM(6, 710) = 2130

GCD(6, 710) = ( 6 x 710 ) / 2130

= 6 / 710

= 6

So, Greatest Common Divisor of 132, 678, 594, 710 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 106, 873, 827
• GCD of 386, 775, 356, 568
• GCD of 995, 255, 892, 890
• GCD of 762, 243, 915, 653
• GCD of 998, 400, 263, 787

Given numbers are 132, 678, 594, 710
The greatest common divisor of numbers 132, 678, 594, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 678, 594, 710 is 2.

1. What is the GCD of 132, 678, 594, 710?

GCD of given numbers 132, 678, 594, 710 is 2

2. How to calculate the greatest common divisor of 132, 678, 594, 710?

We can find the highest common divisor of 132, 678, 594, 710 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, 678, 594, 710 i.e 2.

3. How can I use the GCD of 132, 678, 594, 710Calculator?

Out the numbers 132, 678, 594, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.