GCD of 255, 165, 130, 660 Calculator

Given Input numbers are 255, 165, 130, 660

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

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 165 :

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

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (255, 165, 130, 660) = 5.

Given numbers are 255, 165, 130, 660

The list of prime factors of all numbers are

Prime factors of 255 are 3 x 5 x 17

Prime factors of 165 are 3 x 5 x 11

Prime factors of 130 are 2 x 5 x 13

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 5¹

Therefore, GCD of 255, 165, 130, 660 is 5.

Given numbers are 255, 165, 130, 660

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

Apply this formula for all numbers.

Step1:

LCM(255, 165) = 2805

GCD(255, 165) = ( 255 x 165 ) / 2805

= 255 / 165

= 255

Step2:

LCM(15, 130) = 390

GCD(15, 130) = ( 15 x 130 ) / 390

= 15 / 130

= 15

Step3:

LCM(5, 660) = 660

GCD(5, 660) = ( 5 x 660 ) / 660

= 5 / 660

= 5

So, Greatest Common Divisor of 255, 165, 130, 660 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 189, 994, 582
• GCD of 115, 344, 305, 441
• GCD of 509, 290, 623, 594
• GCD of 801, 238, 362, 148
• GCD of 838, 424, 272, 647

Given numbers are 255, 165, 130, 660
The greatest common divisor of numbers 255, 165, 130, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 255, 165, 130, 660 is 5.

1. What is the GCD of 255, 165, 130, 660?

GCD of given numbers 255, 165, 130, 660 is 5

2. How to calculate the greatest common divisor of 255, 165, 130, 660?

We can find the highest common divisor of 255, 165, 130, 660 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 255, 165, 130, 660 i.e 5.

3. How can I use the GCD of 255, 165, 130, 660Calculator?

Out the numbers 255, 165, 130, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.