GCD of 270, 338, 683, 420 Calculator

Given Input numbers are 270, 338, 683, 420

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 683 :

The positive integer divisors of 683 that completely divides 683 are.

1, 683

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (270, 338, 683, 420) = 1.

Given numbers are 270, 338, 683, 420

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 338 are 2 x 13 x 13

Prime factors of 683 are 683

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 270, 338, 683, 420

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

Apply this formula for all numbers.

Step1:

LCM(270, 338) = 45630

GCD(270, 338) = ( 270 x 338 ) / 45630

= 270 / 338

= 270

Step2:

LCM(2, 683) = 1366

GCD(2, 683) = ( 2 x 683 ) / 1366

= 2 / 683

= 2

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 270, 338, 683, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 595, 271, 148
• GCD of 451, 323, 438, 158
• GCD of 666, 718, 659, 891
• GCD of 852, 130, 984, 982
• GCD of 650, 318, 940, 600

Given numbers are 270, 338, 683, 420
The greatest common divisor of numbers 270, 338, 683, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 338, 683, 420 is 1.

1. What is the GCD of 270, 338, 683, 420?

GCD of given numbers 270, 338, 683, 420 is 1

2. How to calculate the greatest common divisor of 270, 338, 683, 420?

We can find the highest common divisor of 270, 338, 683, 420 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, 338, 683, 420 i.e 1.

3. How can I use the GCD of 270, 338, 683, 420Calculator?

Out the numbers 270, 338, 683, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.