GCD of 132, 780, 728, 110 Calculator

Given Input numbers are 132, 780, 728, 110

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

GCD of numbers is the greatest common divisor

So, the GCD (132, 780, 728, 110) = 2.

Given numbers are 132, 780, 728, 110

The list of prime factors of all numbers are

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

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 110 are 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 132, 780, 728, 110 is 2.

Given numbers are 132, 780, 728, 110

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

Apply this formula for all numbers.

Step1:

LCM(132, 780) = 8580

GCD(132, 780) = ( 132 x 780 ) / 8580

= 132 / 780

= 132

Step2:

LCM(12, 728) = 2184

GCD(12, 728) = ( 12 x 728 ) / 2184

= 12 / 728

= 12

Step3:

LCM(4, 110) = 220

GCD(4, 110) = ( 4 x 110 ) / 220

= 4 / 110

= 4

So, Greatest Common Divisor of 132, 780, 728, 110 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 806, 892, 455
• GCD of 531, 901, 543, 114
• GCD of 545, 832, 511, 817
• GCD of 820, 744, 807, 360
• GCD of 956, 987, 927, 279

Given numbers are 132, 780, 728, 110
The greatest common divisor of numbers 132, 780, 728, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 780, 728, 110 is 2.

1. What is the GCD of 132, 780, 728, 110?

GCD of given numbers 132, 780, 728, 110 is 2

2. How to calculate the greatest common divisor of 132, 780, 728, 110?

We can find the highest common divisor of 132, 780, 728, 110 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, 780, 728, 110 i.e 2.

3. How can I use the GCD of 132, 780, 728, 110Calculator?

Out the numbers 132, 780, 728, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.