GCD of 270, 782, 344 Calculator

Given Input numbers are 270, 782, 344

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 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (270, 782, 344) = 2.

Given numbers are 270, 782, 344

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 782 are 2 x 17 x 23

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 270, 782, 344 is 2.

Given numbers are 270, 782, 344

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

Apply this formula for all numbers.

Step1:

LCM(270, 782) = 105570

GCD(270, 782) = ( 270 x 782 ) / 105570

= 270 / 782

= 270

Step2:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

So, Greatest Common Divisor of 270, 782, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 113, 639
• GCD of 293, 559, 885
• GCD of 355, 538, 286
• GCD of 435, 383, 995
• GCD of 125, 286, 771

Given numbers are 270, 782, 344
The greatest common divisor of numbers 270, 782, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 782, 344 is 2.

1. What is the GCD of 270, 782, 344?

GCD of given numbers 270, 782, 344 is 2

2. How to calculate the greatest common divisor of 270, 782, 344?

We can find the highest common divisor of 270, 782, 344 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, 782, 344 i.e 2.

3. How can I use the GCD of 270, 782, 344Calculator?

Out the numbers 270, 782, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.