GCD of 108, 657, 759 Calculator

Given Input numbers are 108, 657, 759

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 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

GCD of numbers is the greatest common divisor

So, the GCD (108, 657, 759) = 3.

Given numbers are 108, 657, 759

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 657 are 3 x 3 x 73

Prime factors of 759 are 3 x 11 x 23

The highest common occurrence is 3¹

Therefore, GCD of 108, 657, 759 is 3.

Given numbers are 108, 657, 759

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

Apply this formula for all numbers.

Step1:

LCM(108, 657) = 7884

GCD(108, 657) = ( 108 x 657 ) / 7884

= 108 / 657

= 108

Step2:

LCM(9, 759) = 2277

GCD(9, 759) = ( 9 x 759 ) / 2277

= 9 / 759

= 9

So, Greatest Common Divisor of 108, 657, 759 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 743, 979
• GCD of 568, 566, 678
• GCD of 512, 469, 858
• GCD of 152, 263, 617
• GCD of 756, 578, 437

Given numbers are 108, 657, 759
The greatest common divisor of numbers 108, 657, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 657, 759 is 3.

1. What is the GCD of 108, 657, 759?

GCD of given numbers 108, 657, 759 is 3

2. How to calculate the greatest common divisor of 108, 657, 759?

We can find the highest common divisor of 108, 657, 759 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, 657, 759 i.e 3.

3. How can I use the GCD of 108, 657, 759Calculator?

Out the numbers 108, 657, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.