GCD of 108, 304, 498, 679 Calculator

Given Input numbers are 108, 304, 498, 679

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

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

GCD of numbers is the greatest common divisor

So, the GCD (108, 304, 498, 679) = 1.

Given numbers are 108, 304, 498, 679

The list of prime factors of all numbers are

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

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 498 are 2 x 3 x 83

Prime factors of 679 are 7 x 97

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 108, 304, 498, 679

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

Apply this formula for all numbers.

Step1:

LCM(108, 304) = 8208

GCD(108, 304) = ( 108 x 304 ) / 8208

= 108 / 304

= 108

Step2:

LCM(4, 498) = 996

GCD(4, 498) = ( 4 x 498 ) / 996

= 4 / 498

= 4

Step3:

LCM(2, 679) = 1358

GCD(2, 679) = ( 2 x 679 ) / 1358

= 2 / 679

= 2

So, Greatest Common Divisor of 108, 304, 498, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 753, 239, 767
• GCD of 759, 221, 405, 380
• GCD of 930, 223, 191, 476
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• GCD of 966, 705, 195, 252

Given numbers are 108, 304, 498, 679
The greatest common divisor of numbers 108, 304, 498, 679 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 304, 498, 679 is 1.

1. What is the GCD of 108, 304, 498, 679?

GCD of given numbers 108, 304, 498, 679 is 1

2. How to calculate the greatest common divisor of 108, 304, 498, 679?

We can find the highest common divisor of 108, 304, 498, 679 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 108, 304, 498, 679 i.e 1.

3. How can I use the GCD of 108, 304, 498, 679Calculator?

Out the numbers 108, 304, 498, 679 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.