GCD of 380, 650, 510 Calculator

Given Input numbers are 380, 650, 510

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 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

GCD of numbers is the greatest common divisor

So, the GCD (380, 650, 510) = 10.

Given numbers are 380, 650, 510

The list of prime factors of all numbers are

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

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 510 are 2 x 3 x 5 x 17

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 380, 650, 510 is 10.

Given numbers are 380, 650, 510

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

Apply this formula for all numbers.

Step1:

LCM(380, 650) = 24700

GCD(380, 650) = ( 380 x 650 ) / 24700

= 380 / 650

= 380

Step2:

LCM(10, 510) = 510

GCD(10, 510) = ( 10 x 510 ) / 510

= 10 / 510

= 10

So, Greatest Common Divisor of 380, 650, 510 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 711, 995
• GCD of 750, 510, 146
• GCD of 365, 400, 673
• GCD of 294, 668, 349
• GCD of 166, 733, 360

Given numbers are 380, 650, 510
The greatest common divisor of numbers 380, 650, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 650, 510 is 10.

1. What is the GCD of 380, 650, 510?

GCD of given numbers 380, 650, 510 is 10

2. How to calculate the greatest common divisor of 380, 650, 510?

We can find the highest common divisor of 380, 650, 510 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, 650, 510 i.e 10.

3. How can I use the GCD of 380, 650, 510Calculator?

Out the numbers 380, 650, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.