GCD of 102, 132, 708 Calculator

Given Input numbers are 102, 132, 708

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (102, 132, 708) = 6.

Given numbers are 102, 132, 708

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

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

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 102, 132, 708 is 6.

Given numbers are 102, 132, 708

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

Apply this formula for all numbers.

Step1:

LCM(102, 132) = 2244

GCD(102, 132) = ( 102 x 132 ) / 2244

= 102 / 132

= 102

Step2:

LCM(6, 708) = 708

GCD(6, 708) = ( 6 x 708 ) / 708

= 6 / 708

= 6

So, Greatest Common Divisor of 102, 132, 708 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 773, 183
• GCD of 475, 858, 678
• GCD of 486, 650, 652
• GCD of 966, 729, 807
• GCD of 997, 601, 718

Given numbers are 102, 132, 708
The greatest common divisor of numbers 102, 132, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 132, 708 is 6.

1. What is the GCD of 102, 132, 708?

GCD of given numbers 102, 132, 708 is 6

2. How to calculate the greatest common divisor of 102, 132, 708?

We can find the highest common divisor of 102, 132, 708 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 102, 132, 708 i.e 6.

3. How can I use the GCD of 102, 132, 708Calculator?

Out the numbers 102, 132, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.