GCD of 108, 766, 589, 548 Calculator

Given Input numbers are 108, 766, 589, 548

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 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (108, 766, 589, 548) = 1.

Given numbers are 108, 766, 589, 548

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 766 are 2 x 383

Prime factors of 589 are 19 x 31

Prime factors of 548 are 2 x 2 x 137

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

Given numbers are 108, 766, 589, 548

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

Apply this formula for all numbers.

Step1:

LCM(108, 766) = 41364

GCD(108, 766) = ( 108 x 766 ) / 41364

= 108 / 766

= 108

Step2:

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

= 2 / 589

= 2

Step3:

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

= 1 / 548

= 1

So, Greatest Common Divisor of 108, 766, 589, 548 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 714, 771, 205
• GCD of 385, 972, 658, 470
• GCD of 731, 562, 370, 308
• GCD of 446, 935, 478, 685
• GCD of 658, 972, 454, 534

Given numbers are 108, 766, 589, 548
The greatest common divisor of numbers 108, 766, 589, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 766, 589, 548 is 1.

1. What is the GCD of 108, 766, 589, 548?

GCD of given numbers 108, 766, 589, 548 is 1

2. How to calculate the greatest common divisor of 108, 766, 589, 548?

We can find the highest common divisor of 108, 766, 589, 548 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, 766, 589, 548 i.e 1.

3. How can I use the GCD of 108, 766, 589, 548Calculator?

Out the numbers 108, 766, 589, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.