GCD of 174, 422, 731, 720 Calculator

Given Input numbers are 174, 422, 731, 720

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

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 (174, 422, 731, 720) = 1.

Given numbers are 174, 422, 731, 720

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 422 are 2 x 211

Prime factors of 731 are 17 x 43

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 174, 422, 731, 720

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

Apply this formula for all numbers.

Step1:

LCM(174, 422) = 36714

GCD(174, 422) = ( 174 x 422 ) / 36714

= 174 / 422

= 174

Step2:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2

Step3:

LCM(1, 720) = 720

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

= 1 / 720

= 1

So, Greatest Common Divisor of 174, 422, 731, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 968, 903, 499
• GCD of 392, 407, 368, 886
• GCD of 294, 295, 398, 640
• GCD of 778, 510, 977, 845
• GCD of 721, 279, 361, 904

Given numbers are 174, 422, 731, 720
The greatest common divisor of numbers 174, 422, 731, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 422, 731, 720 is 1.

1. What is the GCD of 174, 422, 731, 720?

GCD of given numbers 174, 422, 731, 720 is 1

2. How to calculate the greatest common divisor of 174, 422, 731, 720?

We can find the highest common divisor of 174, 422, 731, 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 174, 422, 731, 720 i.e 1.

3. How can I use the GCD of 174, 422, 731, 720Calculator?

Out the numbers 174, 422, 731, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.