GCD of 165, 820, 312, 135 Calculator

Given Input numbers are 165, 820, 312, 135

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 135 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (165, 820, 312, 135) = 1.

Given numbers are 165, 820, 312, 135

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 820 are 2 x 2 x 5 x 41

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

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

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

Given numbers are 165, 820, 312, 135

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

Apply this formula for all numbers.

Step1:

LCM(165, 820) = 27060

GCD(165, 820) = ( 165 x 820 ) / 27060

= 165 / 820

= 165

Step2:

LCM(5, 312) = 1560

GCD(5, 312) = ( 5 x 312 ) / 1560

= 5 / 312

= 5

Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

So, Greatest Common Divisor of 165, 820, 312, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 299, 952, 691
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Given numbers are 165, 820, 312, 135
The greatest common divisor of numbers 165, 820, 312, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 820, 312, 135 is 1.

1. What is the GCD of 165, 820, 312, 135?

GCD of given numbers 165, 820, 312, 135 is 1

2. How to calculate the greatest common divisor of 165, 820, 312, 135?

We can find the highest common divisor of 165, 820, 312, 135 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, 820, 312, 135 i.e 1.

3. How can I use the GCD of 165, 820, 312, 135Calculator?

Out the numbers 165, 820, 312, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.