GCD of 380, 220, 514, 580 Calculator

Given Input numbers are 380, 220, 514, 580

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

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

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 (380, 220, 514, 580) = 2.

Given numbers are 380, 220, 514, 580

The list of prime factors of all numbers are

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

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 514 are 2 x 257

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

The highest common occurrence is 2¹

Therefore, GCD of 380, 220, 514, 580 is 2.

Given numbers are 380, 220, 514, 580

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

Apply this formula for all numbers.

Step1:

LCM(380, 220) = 4180

GCD(380, 220) = ( 380 x 220 ) / 4180

= 380 / 220

= 380

Step2:

LCM(20, 514) = 5140

GCD(20, 514) = ( 20 x 514 ) / 5140

= 20 / 514

= 20

Step3:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

So, Greatest Common Divisor of 380, 220, 514, 580 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 575, 141, 950
• GCD of 374, 851, 386, 595
• GCD of 688, 932, 872, 787
• GCD of 585, 950, 774, 939
• GCD of 516, 884, 623, 436

Given numbers are 380, 220, 514, 580
The greatest common divisor of numbers 380, 220, 514, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 220, 514, 580 is 2.

1. What is the GCD of 380, 220, 514, 580?

GCD of given numbers 380, 220, 514, 580 is 2

2. How to calculate the greatest common divisor of 380, 220, 514, 580?

We can find the highest common divisor of 380, 220, 514, 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 380, 220, 514, 580 i.e 2.

3. How can I use the GCD of 380, 220, 514, 580Calculator?

Out the numbers 380, 220, 514, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.