GCD of 109, 125, 244, 729 Calculator

Given Input numbers are 109, 125, 244, 729

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 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 244 :

The positive integer divisors of 244 that completely divides 244 are.

1, 2, 4, 61, 122, 244

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

GCD of numbers is the greatest common divisor

So, the GCD (109, 125, 244, 729) = 1.

Given numbers are 109, 125, 244, 729

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 125 are 5 x 5 x 5

Prime factors of 244 are 2 x 2 x 61

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 109, 125, 244, 729

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

Apply this formula for all numbers.

Step1:

LCM(109, 125) = 13625

GCD(109, 125) = ( 109 x 125 ) / 13625

= 109 / 125

= 109

Step2:

LCM(1, 244) = 244

GCD(1, 244) = ( 1 x 244 ) / 244

= 1 / 244

= 1

Step3:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1

So, Greatest Common Divisor of 109, 125, 244, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 391, 582, 804
• GCD of 797, 519, 623, 921
• GCD of 770, 109, 714, 912
• GCD of 931, 876, 502, 861
• GCD of 207, 810, 750, 902

Given numbers are 109, 125, 244, 729
The greatest common divisor of numbers 109, 125, 244, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 125, 244, 729 is 1.

1. What is the GCD of 109, 125, 244, 729?

GCD of given numbers 109, 125, 244, 729 is 1

2. How to calculate the greatest common divisor of 109, 125, 244, 729?

We can find the highest common divisor of 109, 125, 244, 729 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, 125, 244, 729 i.e 1.

3. How can I use the GCD of 109, 125, 244, 729Calculator?

Out the numbers 109, 125, 244, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.