GCD of 580, 702, 309, 144 Calculator

Given Input numbers are 580, 702, 309, 144

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (580, 702, 309, 144) = 1.

Given numbers are 580, 702, 309, 144

The list of prime factors of all numbers are

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

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 309 are 3 x 103

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 580, 702, 309, 144

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

Apply this formula for all numbers.

Step1:

LCM(580, 702) = 203580

GCD(580, 702) = ( 580 x 702 ) / 203580

= 580 / 702

= 580

Step2:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 580, 702, 309, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 866, 168, 225
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Given numbers are 580, 702, 309, 144
The greatest common divisor of numbers 580, 702, 309, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 702, 309, 144 is 1.

1. What is the GCD of 580, 702, 309, 144?

GCD of given numbers 580, 702, 309, 144 is 1

2. How to calculate the greatest common divisor of 580, 702, 309, 144?

We can find the highest common divisor of 580, 702, 309, 144 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, 702, 309, 144 i.e 1.

3. How can I use the GCD of 580, 702, 309, 144Calculator?

Out the numbers 580, 702, 309, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.