GCD of 460, 721, 36 Calculator

Given Input numbers are 460, 721, 36

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

GCD of numbers is the greatest common divisor

So, the GCD (460, 721, 36) = 1.

Given numbers are 460, 721, 36

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 721 are 7 x 103

Prime factors of 36 are 2 x 2 x 3 x 3

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

Given numbers are 460, 721, 36

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

Apply this formula for all numbers.

Step1:

LCM(460, 721) = 331660

GCD(460, 721) = ( 460 x 721 ) / 331660

= 460 / 721

= 460

Step2:

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

= 1 / 36

= 1

So, Greatest Common Divisor of 460, 721, 36 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 756, 11
• GCD of 988, 568, 68
• GCD of 590, 144, 77
• GCD of 847, 394, 95
• GCD of 542, 433, 93

Given numbers are 460, 721, 36
The greatest common divisor of numbers 460, 721, 36 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 721, 36 is 1.

1. What is the GCD of 460, 721, 36?

GCD of given numbers 460, 721, 36 is 1

2. How to calculate the greatest common divisor of 460, 721, 36?

We can find the highest common divisor of 460, 721, 36 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 460, 721, 36 i.e 1.

3. How can I use the GCD of 460, 721, 36Calculator?

Out the numbers 460, 721, 36 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.