GCD of 729, 762, 232, 900 Calculator

Given Input numbers are 729, 762, 232, 900

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 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (729, 762, 232, 900) = 1.

Given numbers are 729, 762, 232, 900

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 762 are 2 x 3 x 127

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 729, 762, 232, 900

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

Apply this formula for all numbers.

Step1:

LCM(729, 762) = 185166

GCD(729, 762) = ( 729 x 762 ) / 185166

= 729 / 762

= 729

Step2:

LCM(3, 232) = 696

GCD(3, 232) = ( 3 x 232 ) / 696

= 3 / 232

= 3

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 729, 762, 232, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 988, 725, 495
• GCD of 556, 785, 821, 285
• GCD of 939, 248, 857, 552
• GCD of 968, 179, 983, 804
• GCD of 105, 520, 434, 624

Given numbers are 729, 762, 232, 900
The greatest common divisor of numbers 729, 762, 232, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 762, 232, 900 is 1.

1. What is the GCD of 729, 762, 232, 900?

GCD of given numbers 729, 762, 232, 900 is 1

2. How to calculate the greatest common divisor of 729, 762, 232, 900?

We can find the highest common divisor of 729, 762, 232, 900 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, 762, 232, 900 i.e 1.

3. How can I use the GCD of 729, 762, 232, 900Calculator?

Out the numbers 729, 762, 232, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.