GCD of 580, 720, 874, 171 Calculator

Given Input numbers are 580, 720, 874, 171

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (580, 720, 874, 171) = 1.

Given numbers are 580, 720, 874, 171

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

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

Prime factors of 874 are 2 x 19 x 23

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 580, 720, 874, 171

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

Apply this formula for all numbers.

Step1:

LCM(580, 720) = 20880

GCD(580, 720) = ( 580 x 720 ) / 20880

= 580 / 720

= 580

Step2:

LCM(20, 874) = 8740

GCD(20, 874) = ( 20 x 874 ) / 8740

= 20 / 874

= 20

Step3:

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

= 2 / 171

= 2

So, Greatest Common Divisor of 580, 720, 874, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 556, 737, 482
• GCD of 786, 703, 751, 272
• GCD of 589, 513, 543, 289
• GCD of 844, 733, 983, 400
• GCD of 118, 920, 950, 618

Given numbers are 580, 720, 874, 171
The greatest common divisor of numbers 580, 720, 874, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 720, 874, 171 is 1.

1. What is the GCD of 580, 720, 874, 171?

GCD of given numbers 580, 720, 874, 171 is 1

2. How to calculate the greatest common divisor of 580, 720, 874, 171?

We can find the highest common divisor of 580, 720, 874, 171 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 580, 720, 874, 171 i.e 1.

3. How can I use the GCD of 580, 720, 874, 171Calculator?

Out the numbers 580, 720, 874, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.