GCD of 165, 880, 869, 144 Calculator

Given Input numbers are 165, 880, 869, 144

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 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (165, 880, 869, 144) = 1.

Given numbers are 165, 880, 869, 144

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 869 are 11 x 79

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 165, 880, 869, 144

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

Apply this formula for all numbers.

Step1:

LCM(165, 880) = 2640

GCD(165, 880) = ( 165 x 880 ) / 2640

= 165 / 880

= 165

Step2:

LCM(55, 869) = 4345

GCD(55, 869) = ( 55 x 869 ) / 4345

= 55 / 869

= 55

Step3:

LCM(11, 144) = 1584

GCD(11, 144) = ( 11 x 144 ) / 1584

= 11 / 144

= 11

So, Greatest Common Divisor of 165, 880, 869, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 886, 312, 665
• GCD of 445, 479, 390, 453
• GCD of 821, 480, 579, 670
• GCD of 889, 543, 884, 763
• GCD of 252, 286, 651, 625

Given numbers are 165, 880, 869, 144
The greatest common divisor of numbers 165, 880, 869, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 880, 869, 144 is 1.

1. What is the GCD of 165, 880, 869, 144?

GCD of given numbers 165, 880, 869, 144 is 1

2. How to calculate the greatest common divisor of 165, 880, 869, 144?

We can find the highest common divisor of 165, 880, 869, 144 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, 880, 869, 144 i.e 1.

3. How can I use the GCD of 165, 880, 869, 144Calculator?

Out the numbers 165, 880, 869, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.