GCD of 729, 138, 997, 735 Calculator

Given Input numbers are 729, 138, 997, 735

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

Divisors of 729 :

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

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

Divisors of 138 :

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

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

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (729, 138, 997, 735) = 1.

Given numbers are 729, 138, 997, 735

The list of prime factors of all numbers are

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

Prime factors of 138 are 2 x 3 x 23

Prime factors of 997 are 997

Prime factors of 735 are 3 x 5 x 7 x 7

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

Given numbers are 729, 138, 997, 735

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

Apply this formula for all numbers.

Step1:

LCM(729, 138) = 33534

GCD(729, 138) = ( 729 x 138 ) / 33534

= 729 / 138

= 729

Step2:

LCM(3, 997) = 2991

GCD(3, 997) = ( 3 x 997 ) / 2991

= 3 / 997

= 3

Step3:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

So, Greatest Common Divisor of 729, 138, 997, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 111, 679, 124
• GCD of 742, 444, 603, 130
• GCD of 454, 817, 488, 960
• GCD of 551, 549, 394, 958
• GCD of 983, 863, 107, 880

Given numbers are 729, 138, 997, 735
The greatest common divisor of numbers 729, 138, 997, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 138, 997, 735 is 1.

1. What is the GCD of 729, 138, 997, 735?

GCD of given numbers 729, 138, 997, 735 is 1

2. How to calculate the greatest common divisor of 729, 138, 997, 735?

We can find the highest common divisor of 729, 138, 997, 735 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 729, 138, 997, 735 i.e 1.

3. How can I use the GCD of 729, 138, 997, 735Calculator?

Out the numbers 729, 138, 997, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.