GCD of 605, 380, 225, 580 Calculator

Given Input numbers are 605, 380, 225, 580

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

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

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

GCD of numbers is the greatest common divisor

So, the GCD (605, 380, 225, 580) = 5.

Given numbers are 605, 380, 225, 580

The list of prime factors of all numbers are

Prime factors of 605 are 5 x 11 x 11

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 225 are 3 x 3 x 5 x 5

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

The highest common occurrence is 5¹

Therefore, GCD of 605, 380, 225, 580 is 5.

Given numbers are 605, 380, 225, 580

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

Apply this formula for all numbers.

Step1:

LCM(605, 380) = 45980

GCD(605, 380) = ( 605 x 380 ) / 45980

= 605 / 380

= 605

Step2:

LCM(5, 225) = 225

GCD(5, 225) = ( 5 x 225 ) / 225

= 5 / 225

= 5

Step3:

LCM(5, 580) = 580

GCD(5, 580) = ( 5 x 580 ) / 580

= 5 / 580

= 5

So, Greatest Common Divisor of 605, 380, 225, 580 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 308, 114, 343
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• GCD of 827, 307, 123, 258
• GCD of 912, 706, 310, 632
• GCD of 568, 192, 868, 610

Given numbers are 605, 380, 225, 580
The greatest common divisor of numbers 605, 380, 225, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 605, 380, 225, 580 is 5.

1. What is the GCD of 605, 380, 225, 580?

GCD of given numbers 605, 380, 225, 580 is 5

2. How to calculate the greatest common divisor of 605, 380, 225, 580?

We can find the highest common divisor of 605, 380, 225, 580 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 605, 380, 225, 580 i.e 5.

3. How can I use the GCD of 605, 380, 225, 580Calculator?

Out the numbers 605, 380, 225, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.