GCD of 144, 360, 122, 543 Calculator

Given Input numbers are 144, 360, 122, 543

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

GCD of numbers is the greatest common divisor

So, the GCD (144, 360, 122, 543) = 1.

Given numbers are 144, 360, 122, 543

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 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 122 are 2 x 61

Prime factors of 543 are 3 x 181

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

Given numbers are 144, 360, 122, 543

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

Apply this formula for all numbers.

Step1:

LCM(144, 360) = 720

GCD(144, 360) = ( 144 x 360 ) / 720

= 144 / 360

= 144

Step2:

LCM(72, 122) = 4392

GCD(72, 122) = ( 72 x 122 ) / 4392

= 72 / 122

= 72

Step3:

LCM(2, 543) = 1086

GCD(2, 543) = ( 2 x 543 ) / 1086

= 2 / 543

= 2

So, Greatest Common Divisor of 144, 360, 122, 543 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 467, 394, 854, 183
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• GCD of 841, 987, 858, 366
• GCD of 692, 545, 969, 695
• GCD of 798, 583, 322, 512

Given numbers are 144, 360, 122, 543
The greatest common divisor of numbers 144, 360, 122, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 360, 122, 543 is 1.

1. What is the GCD of 144, 360, 122, 543?

GCD of given numbers 144, 360, 122, 543 is 1

2. How to calculate the greatest common divisor of 144, 360, 122, 543?

We can find the highest common divisor of 144, 360, 122, 543 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, 360, 122, 543 i.e 1.

3. How can I use the GCD of 144, 360, 122, 543Calculator?

Out the numbers 144, 360, 122, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.