GCD of 165, 528, 222, 310 Calculator

Given Input numbers are 165, 528, 222, 310

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 222 :

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

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (165, 528, 222, 310) = 1.

Given numbers are 165, 528, 222, 310

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 222 are 2 x 3 x 37

Prime factors of 310 are 2 x 5 x 31

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

Given numbers are 165, 528, 222, 310

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

Apply this formula for all numbers.

Step1:

LCM(165, 528) = 2640

GCD(165, 528) = ( 165 x 528 ) / 2640

= 165 / 528

= 165

Step2:

LCM(33, 222) = 2442

GCD(33, 222) = ( 33 x 222 ) / 2442

= 33 / 222

= 33

Step3:

LCM(3, 310) = 930

GCD(3, 310) = ( 3 x 310 ) / 930

= 3 / 310

= 3

So, Greatest Common Divisor of 165, 528, 222, 310 is 1

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Given numbers are 165, 528, 222, 310
The greatest common divisor of numbers 165, 528, 222, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 528, 222, 310 is 1.

1. What is the GCD of 165, 528, 222, 310?

GCD of given numbers 165, 528, 222, 310 is 1

2. How to calculate the greatest common divisor of 165, 528, 222, 310?

We can find the highest common divisor of 165, 528, 222, 310 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 165, 528, 222, 310 i.e 1.

3. How can I use the GCD of 165, 528, 222, 310Calculator?

Out the numbers 165, 528, 222, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.