GCD of 762, 468, 729, 225 Calculator

Given Input numbers are 762, 468, 729, 225

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

Divisors of 762 :

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

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 729 :

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

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (762, 468, 729, 225) = 3.

Given numbers are 762, 468, 729, 225

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

Prime factors of 225 are 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 762, 468, 729, 225 is 3.

Given numbers are 762, 468, 729, 225

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

Apply this formula for all numbers.

Step1:

LCM(762, 468) = 59436

GCD(762, 468) = ( 762 x 468 ) / 59436

= 762 / 468

= 762

Step2:

LCM(6, 729) = 1458

GCD(6, 729) = ( 6 x 729 ) / 1458

= 6 / 729

= 6

Step3:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

So, Greatest Common Divisor of 762, 468, 729, 225 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 189, 107, 438
• GCD of 479, 514, 916, 617
• GCD of 429, 509, 926, 500
• GCD of 950, 505, 226, 551
• GCD of 502, 117, 962, 730

Given numbers are 762, 468, 729, 225
The greatest common divisor of numbers 762, 468, 729, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 468, 729, 225 is 3.

1. What is the GCD of 762, 468, 729, 225?

GCD of given numbers 762, 468, 729, 225 is 3

2. How to calculate the greatest common divisor of 762, 468, 729, 225?

We can find the highest common divisor of 762, 468, 729, 225 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 762, 468, 729, 225 i.e 3.

3. How can I use the GCD of 762, 468, 729, 225Calculator?

Out the numbers 762, 468, 729, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.