GCD of 272, 144, 635, 165 Calculator

Given Input numbers are 272, 144, 635, 165

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

Divisors of 635 :

The positive integer divisors of 635 that completely divides 635 are.

1, 5, 127, 635

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 (272, 144, 635, 165) = 1.

Given numbers are 272, 144, 635, 165

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

Prime factors of 635 are 5 x 127

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 272, 144, 635, 165

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

Apply this formula for all numbers.

Step1:

LCM(272, 144) = 2448

GCD(272, 144) = ( 272 x 144 ) / 2448

= 272 / 144

= 272

Step2:

LCM(16, 635) = 10160

GCD(16, 635) = ( 16 x 635 ) / 10160

= 16 / 635

= 16

Step3:

LCM(1, 165) = 165

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

= 1 / 165

= 1

So, Greatest Common Divisor of 272, 144, 635, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 140, 469, 123
• GCD of 829, 187, 950, 475
• GCD of 271, 990, 489, 438
• GCD of 553, 863, 751, 625
• GCD of 917, 313, 788, 316

Given numbers are 272, 144, 635, 165
The greatest common divisor of numbers 272, 144, 635, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 144, 635, 165 is 1.

1. What is the GCD of 272, 144, 635, 165?

GCD of given numbers 272, 144, 635, 165 is 1

2. How to calculate the greatest common divisor of 272, 144, 635, 165?

We can find the highest common divisor of 272, 144, 635, 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 272, 144, 635, 165 i.e 1.

3. How can I use the GCD of 272, 144, 635, 165Calculator?

Out the numbers 272, 144, 635, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.