GCD of 135, 214, 271, 164 Calculator

Given Input numbers are 135, 214, 271, 164

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (135, 214, 271, 164) = 1.

Given numbers are 135, 214, 271, 164

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 214 are 2 x 107

Prime factors of 271 are 271

Prime factors of 164 are 2 x 2 x 41

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

Given numbers are 135, 214, 271, 164

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

Apply this formula for all numbers.

Step1:

LCM(135, 214) = 28890

GCD(135, 214) = ( 135 x 214 ) / 28890

= 135 / 214

= 135

Step2:

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

= 1 / 271

= 1

Step3:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1

So, Greatest Common Divisor of 135, 214, 271, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 617, 130, 762
• GCD of 664, 802, 681, 467
• GCD of 333, 136, 773, 853
• GCD of 830, 149, 475, 700
• GCD of 669, 138, 863, 364

Given numbers are 135, 214, 271, 164
The greatest common divisor of numbers 135, 214, 271, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 214, 271, 164 is 1.

1. What is the GCD of 135, 214, 271, 164?

GCD of given numbers 135, 214, 271, 164 is 1

2. How to calculate the greatest common divisor of 135, 214, 271, 164?

We can find the highest common divisor of 135, 214, 271, 164 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 135, 214, 271, 164 i.e 1.

3. How can I use the GCD of 135, 214, 271, 164Calculator?

Out the numbers 135, 214, 271, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.