GCD of 580, 385, 509, 745 Calculator

Given Input numbers are 580, 385, 509, 745

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 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (580, 385, 509, 745) = 1.

Given numbers are 580, 385, 509, 745

The list of prime factors of all numbers are

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

Prime factors of 385 are 5 x 7 x 11

Prime factors of 509 are 509

Prime factors of 745 are 5 x 149

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

Given numbers are 580, 385, 509, 745

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

Apply this formula for all numbers.

Step1:

LCM(580, 385) = 44660

GCD(580, 385) = ( 580 x 385 ) / 44660

= 580 / 385

= 580

Step2:

LCM(5, 509) = 2545

GCD(5, 509) = ( 5 x 509 ) / 2545

= 5 / 509

= 5

Step3:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

So, Greatest Common Divisor of 580, 385, 509, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 595, 916, 467
• GCD of 551, 780, 764, 349
• GCD of 855, 651, 292, 362
• GCD of 795, 561, 224, 160
• GCD of 238, 169, 274, 721

Given numbers are 580, 385, 509, 745
The greatest common divisor of numbers 580, 385, 509, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 385, 509, 745 is 1.

1. What is the GCD of 580, 385, 509, 745?

GCD of given numbers 580, 385, 509, 745 is 1

2. How to calculate the greatest common divisor of 580, 385, 509, 745?

We can find the highest common divisor of 580, 385, 509, 745 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, 385, 509, 745 i.e 1.

3. How can I use the GCD of 580, 385, 509, 745Calculator?

Out the numbers 580, 385, 509, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.