GCD of 109, 393, 138, 759 Calculator

Given Input numbers are 109, 393, 138, 759

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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 (109, 393, 138, 759) = 1.

Given numbers are 109, 393, 138, 759

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 393 are 3 x 131

Prime factors of 138 are 2 x 3 x 23

Prime factors of 759 are 3 x 11 x 23

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

Given numbers are 109, 393, 138, 759

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

Apply this formula for all numbers.

Step1:

LCM(109, 393) = 42837

GCD(109, 393) = ( 109 x 393 ) / 42837

= 109 / 393

= 109

Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

Step3:

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

= 1 / 759

= 1

So, Greatest Common Divisor of 109, 393, 138, 759 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 324, 603, 874
• GCD of 252, 660, 430, 852
• GCD of 935, 746, 661, 398
• GCD of 567, 284, 851, 727
• GCD of 717, 548, 433, 366

Given numbers are 109, 393, 138, 759
The greatest common divisor of numbers 109, 393, 138, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 393, 138, 759 is 1.

1. What is the GCD of 109, 393, 138, 759?

GCD of given numbers 109, 393, 138, 759 is 1

2. How to calculate the greatest common divisor of 109, 393, 138, 759?

We can find the highest common divisor of 109, 393, 138, 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 109, 393, 138, 759 i.e 1.

3. How can I use the GCD of 109, 393, 138, 759Calculator?

Out the numbers 109, 393, 138, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.