GCD of 109, 621, 138, 630 Calculator

Given Input numbers are 109, 621, 138, 630

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 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 138 :

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

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

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

GCD of numbers is the greatest common divisor

So, the GCD (109, 621, 138, 630) = 1.

Given numbers are 109, 621, 138, 630

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 138 are 2 x 3 x 23

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

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

Given numbers are 109, 621, 138, 630

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

Apply this formula for all numbers.

Step1:

LCM(109, 621) = 67689

GCD(109, 621) = ( 109 x 621 ) / 67689

= 109 / 621

= 109

Step2:

LCM(1, 138) = 138

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

= 1 / 138

= 1

Step3:

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

= 1 / 630

= 1

So, Greatest Common Divisor of 109, 621, 138, 630 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 585, 227, 713
• GCD of 924, 445, 410, 599
• GCD of 579, 961, 685, 767
• GCD of 783, 863, 252, 302
• GCD of 986, 343, 272, 935

Given numbers are 109, 621, 138, 630
The greatest common divisor of numbers 109, 621, 138, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 621, 138, 630 is 1.

1. What is the GCD of 109, 621, 138, 630?

GCD of given numbers 109, 621, 138, 630 is 1

2. How to calculate the greatest common divisor of 109, 621, 138, 630?

We can find the highest common divisor of 109, 621, 138, 630 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, 621, 138, 630 i.e 1.

3. How can I use the GCD of 109, 621, 138, 630Calculator?

Out the numbers 109, 621, 138, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.