GCD of 313, 272, 621, 144 Calculator

Given Input numbers are 313, 272, 621, 144

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

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

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 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

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 (313, 272, 621, 144) = 1.

Given numbers are 313, 272, 621, 144

The list of prime factors of all numbers are

Prime factors of 313 are 313

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

Prime factors of 621 are 3 x 3 x 3 x 23

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 313, 272, 621, 144

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

Apply this formula for all numbers.

Step1:

LCM(313, 272) = 85136

GCD(313, 272) = ( 313 x 272 ) / 85136

= 313 / 272

= 313

Step2:

LCM(1, 621) = 621

GCD(1, 621) = ( 1 x 621 ) / 621

= 1 / 621

= 1

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 313, 272, 621, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 986, 473, 119
• GCD of 188, 621, 491, 226
• GCD of 417, 669, 740, 616
• GCD of 796, 212, 263, 492
• GCD of 325, 112, 273, 913

Given numbers are 313, 272, 621, 144
The greatest common divisor of numbers 313, 272, 621, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 272, 621, 144 is 1.

1. What is the GCD of 313, 272, 621, 144?

GCD of given numbers 313, 272, 621, 144 is 1

2. How to calculate the greatest common divisor of 313, 272, 621, 144?

We can find the highest common divisor of 313, 272, 621, 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 313, 272, 621, 144 i.e 1.

3. How can I use the GCD of 313, 272, 621, 144Calculator?

Out the numbers 313, 272, 621, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.