GCD of 270, 340, 160 Calculator

Given Input numbers are 270, 340, 160

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (270, 340, 160) = 10.

Given numbers are 270, 340, 160

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 340 are 2 x 2 x 5 x 17

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 270, 340, 160 is 10.

Given numbers are 270, 340, 160

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

Apply this formula for all numbers.

Step1:

LCM(270, 340) = 9180

GCD(270, 340) = ( 270 x 340 ) / 9180

= 270 / 340

= 270

Step2:

LCM(10, 160) = 160

GCD(10, 160) = ( 10 x 160 ) / 160

= 10 / 160

= 10

So, Greatest Common Divisor of 270, 340, 160 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 105, 874
• GCD of 894, 335, 343
• GCD of 901, 951, 883
• GCD of 179, 821, 112
• GCD of 996, 151, 613

Given numbers are 270, 340, 160
The greatest common divisor of numbers 270, 340, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 340, 160 is 10.

1. What is the GCD of 270, 340, 160?

GCD of given numbers 270, 340, 160 is 10

2. How to calculate the greatest common divisor of 270, 340, 160?

We can find the highest common divisor of 270, 340, 160 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, 340, 160 i.e 10.

3. How can I use the GCD of 270, 340, 160Calculator?

Out the numbers 270, 340, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.