GCD of 708, 170, 704 Calculator

Given Input numbers are 708, 170, 704

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

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (708, 170, 704) = 2.

Given numbers are 708, 170, 704

The list of prime factors of all numbers are

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

Prime factors of 170 are 2 x 5 x 17

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 708, 170, 704 is 2.

Given numbers are 708, 170, 704

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

Apply this formula for all numbers.

Step1:

LCM(708, 170) = 60180

GCD(708, 170) = ( 708 x 170 ) / 60180

= 708 / 170

= 708

Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

So, Greatest Common Divisor of 708, 170, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 706, 937
• GCD of 764, 451, 977
• GCD of 655, 417, 421
• GCD of 337, 756, 617
• GCD of 887, 659, 505

Given numbers are 708, 170, 704
The greatest common divisor of numbers 708, 170, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 170, 704 is 2.

1. What is the GCD of 708, 170, 704?

GCD of given numbers 708, 170, 704 is 2

2. How to calculate the greatest common divisor of 708, 170, 704?

We can find the highest common divisor of 708, 170, 704 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 708, 170, 704 i.e 2.

3. How can I use the GCD of 708, 170, 704Calculator?

Out the numbers 708, 170, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.