GCD of 270, 390, 370 Calculator

Given Input numbers are 270, 390, 370

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

GCD of numbers is the greatest common divisor

So, the GCD (270, 390, 370) = 10.

Given numbers are 270, 390, 370

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 370 are 2 x 5 x 37

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 270, 390, 370 is 10.

Given numbers are 270, 390, 370

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

Apply this formula for all numbers.

Step1:

LCM(270, 390) = 3510

GCD(270, 390) = ( 270 x 390 ) / 3510

= 270 / 390

= 270

Step2:

LCM(30, 370) = 1110

GCD(30, 370) = ( 30 x 370 ) / 1110

= 30 / 370

= 30

So, Greatest Common Divisor of 270, 390, 370 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 796, 847
• GCD of 264, 554, 357
• GCD of 503, 409, 155
• GCD of 901, 908, 106
• GCD of 122, 907, 435

Given numbers are 270, 390, 370
The greatest common divisor of numbers 270, 390, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 390, 370 is 10.

1. What is the GCD of 270, 390, 370?

GCD of given numbers 270, 390, 370 is 10

2. How to calculate the greatest common divisor of 270, 390, 370?

We can find the highest common divisor of 270, 390, 370 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 270, 390, 370 i.e 10.

3. How can I use the GCD of 270, 390, 370Calculator?

Out the numbers 270, 390, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.