GCD of 144, 123, 649, 448 Calculator

Given Input numbers are 144, 123, 649, 448

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

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 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (144, 123, 649, 448) = 1.

Given numbers are 144, 123, 649, 448

The list of prime factors of all numbers are

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

Prime factors of 123 are 3 x 41

Prime factors of 649 are 11 x 59

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 144, 123, 649, 448

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

Apply this formula for all numbers.

Step1:

LCM(144, 123) = 5904

GCD(144, 123) = ( 144 x 123 ) / 5904

= 144 / 123

= 144

Step2:

LCM(3, 649) = 1947

GCD(3, 649) = ( 3 x 649 ) / 1947

= 3 / 649

= 3

Step3:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1

So, Greatest Common Divisor of 144, 123, 649, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 535, 975, 769
• GCD of 760, 105, 644, 246
• GCD of 733, 927, 235, 448
• GCD of 343, 569, 897, 605
• GCD of 986, 296, 457, 950

Given numbers are 144, 123, 649, 448
The greatest common divisor of numbers 144, 123, 649, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 123, 649, 448 is 1.

1. What is the GCD of 144, 123, 649, 448?

GCD of given numbers 144, 123, 649, 448 is 1

2. How to calculate the greatest common divisor of 144, 123, 649, 448?

We can find the highest common divisor of 144, 123, 649, 448 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 144, 123, 649, 448 i.e 1.

3. How can I use the GCD of 144, 123, 649, 448Calculator?

Out the numbers 144, 123, 649, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.