GCD of 312, 120, 527, 165 Calculator

Given Input numbers are 312, 120, 527, 165

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 527 :

The positive integer divisors of 527 that completely divides 527 are.

1, 17, 31, 527

Divisors of 165 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (312, 120, 527, 165) = 1.

Given numbers are 312, 120, 527, 165

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 527 are 17 x 31

Prime factors of 165 are 3 x 5 x 11

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

Given numbers are 312, 120, 527, 165

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

Apply this formula for all numbers.

Step1:

LCM(312, 120) = 1560

GCD(312, 120) = ( 312 x 120 ) / 1560

= 312 / 120

= 312

Step2:

LCM(24, 527) = 12648

GCD(24, 527) = ( 24 x 527 ) / 12648

= 24 / 527

= 24

Step3:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1

So, Greatest Common Divisor of 312, 120, 527, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 699, 230, 181
• GCD of 127, 851, 152, 248
• GCD of 166, 616, 606, 108
• GCD of 851, 792, 908, 837
• GCD of 233, 434, 757, 580

Given numbers are 312, 120, 527, 165
The greatest common divisor of numbers 312, 120, 527, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 120, 527, 165 is 1.

1. What is the GCD of 312, 120, 527, 165?

GCD of given numbers 312, 120, 527, 165 is 1

2. How to calculate the greatest common divisor of 312, 120, 527, 165?

We can find the highest common divisor of 312, 120, 527, 165 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 312, 120, 527, 165 i.e 1.

3. How can I use the GCD of 312, 120, 527, 165Calculator?

Out the numbers 312, 120, 527, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.