GCD of 358, 704, 108 Calculator

Given Input numbers are 358, 704, 108

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (358, 704, 108) = 2.

Given numbers are 358, 704, 108

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

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

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 358, 704, 108 is 2.

Given numbers are 358, 704, 108

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

Apply this formula for all numbers.

Step1:

LCM(358, 704) = 126016

GCD(358, 704) = ( 358 x 704 ) / 126016

= 358 / 704

= 358

Step2:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 358, 704, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 683, 589
• GCD of 330, 958, 805
• GCD of 123, 789, 599
• GCD of 199, 471, 684
• GCD of 359, 240, 464

Given numbers are 358, 704, 108
The greatest common divisor of numbers 358, 704, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 704, 108 is 2.

1. What is the GCD of 358, 704, 108?

GCD of given numbers 358, 704, 108 is 2

2. How to calculate the greatest common divisor of 358, 704, 108?

We can find the highest common divisor of 358, 704, 108 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 358, 704, 108 i.e 2.

3. How can I use the GCD of 358, 704, 108Calculator?

Out the numbers 358, 704, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.