GCD of 144, 120, 535, 368 Calculator

Given Input numbers are 144, 120, 535, 368

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

GCD of numbers is the greatest common divisor

So, the GCD (144, 120, 535, 368) = 1.

Given numbers are 144, 120, 535, 368

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 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 535 are 5 x 107

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

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

Given numbers are 144, 120, 535, 368

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

Apply this formula for all numbers.

Step1:

LCM(144, 120) = 720

GCD(144, 120) = ( 144 x 120 ) / 720

= 144 / 120

= 144

Step2:

LCM(24, 535) = 12840

GCD(24, 535) = ( 24 x 535 ) / 12840

= 24 / 535

= 24

Step3:

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

= 1 / 368

= 1

So, Greatest Common Divisor of 144, 120, 535, 368 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 882, 577, 894
• GCD of 617, 338, 458, 964
• GCD of 947, 965, 223, 504
• GCD of 249, 731, 706, 709
• GCD of 932, 779, 982, 265

Given numbers are 144, 120, 535, 368
The greatest common divisor of numbers 144, 120, 535, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 120, 535, 368 is 1.

1. What is the GCD of 144, 120, 535, 368?

GCD of given numbers 144, 120, 535, 368 is 1

2. How to calculate the greatest common divisor of 144, 120, 535, 368?

We can find the highest common divisor of 144, 120, 535, 368 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, 120, 535, 368 i.e 1.

3. How can I use the GCD of 144, 120, 535, 368Calculator?

Out the numbers 144, 120, 535, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.