GCD of 824, 464, 71, 720 Calculator

Given Input numbers are 824, 464, 71, 720

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (824, 464, 71, 720) = 1.

Given numbers are 824, 464, 71, 720

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 71 are 71

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 824, 464, 71, 720

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

Apply this formula for all numbers.

Step1:

LCM(824, 464) = 47792

GCD(824, 464) = ( 824 x 464 ) / 47792

= 824 / 464

= 824

Step2:

LCM(8, 71) = 568

GCD(8, 71) = ( 8 x 71 ) / 568

= 8 / 71

= 8

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 824, 464, 71, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 980, 27, 703
• GCD of 633, 715, 25, 155
• GCD of 795, 889, 81, 225
• GCD of 464, 519, 47, 735
• GCD of 122, 723, 92, 622

Given numbers are 824, 464, 71, 720
The greatest common divisor of numbers 824, 464, 71, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 464, 71, 720 is 1.

1. What is the GCD of 824, 464, 71, 720?

GCD of given numbers 824, 464, 71, 720 is 1

2. How to calculate the greatest common divisor of 824, 464, 71, 720?

We can find the highest common divisor of 824, 464, 71, 720 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 824, 464, 71, 720 i.e 1.

3. How can I use the GCD of 824, 464, 71, 720Calculator?

Out the numbers 824, 464, 71, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.