GCD of 135, 827, 314, 222 Calculator

Given Input numbers are 135, 827, 314, 222

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 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

GCD of numbers is the greatest common divisor

So, the GCD (135, 827, 314, 222) = 1.

Given numbers are 135, 827, 314, 222

The list of prime factors of all numbers are

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

Prime factors of 827 are 827

Prime factors of 314 are 2 x 157

Prime factors of 222 are 2 x 3 x 37

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

Given numbers are 135, 827, 314, 222

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

Apply this formula for all numbers.

Step1:

LCM(135, 827) = 111645

GCD(135, 827) = ( 135 x 827 ) / 111645

= 135 / 827

= 135

Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

Step3:

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

= 1 / 222

= 1

So, Greatest Common Divisor of 135, 827, 314, 222 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 153, 861, 486
• GCD of 597, 353, 377, 387
• GCD of 344, 384, 839, 280
• GCD of 855, 328, 385, 569
• GCD of 979, 980, 639, 145

Given numbers are 135, 827, 314, 222
The greatest common divisor of numbers 135, 827, 314, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 827, 314, 222 is 1.

1. What is the GCD of 135, 827, 314, 222?

GCD of given numbers 135, 827, 314, 222 is 1

2. How to calculate the greatest common divisor of 135, 827, 314, 222?

We can find the highest common divisor of 135, 827, 314, 222 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, 827, 314, 222 i.e 1.

3. How can I use the GCD of 135, 827, 314, 222Calculator?

Out the numbers 135, 827, 314, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.