GCD of 144, 293, 60, 490 Calculator

Given Input numbers are 144, 293, 60, 490

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 293 :

The positive integer divisors of 293 that completely divides 293 are.

1, 293

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (144, 293, 60, 490) = 1.

Given numbers are 144, 293, 60, 490

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 293 are 293

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 490 are 2 x 5 x 7 x 7

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

Given numbers are 144, 293, 60, 490

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

Apply this formula for all numbers.

Step1:

LCM(144, 293) = 42192

GCD(144, 293) = ( 144 x 293 ) / 42192

= 144 / 293

= 144

Step2:

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

= 1 / 60

= 1

Step3:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

So, Greatest Common Divisor of 144, 293, 60, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 727, 52, 527
• GCD of 684, 826, 51, 309
• GCD of 141, 571, 19, 719
• GCD of 856, 229, 40, 483
• GCD of 996, 292, 69, 680

Given numbers are 144, 293, 60, 490
The greatest common divisor of numbers 144, 293, 60, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 293, 60, 490 is 1.

1. What is the GCD of 144, 293, 60, 490?

GCD of given numbers 144, 293, 60, 490 is 1

2. How to calculate the greatest common divisor of 144, 293, 60, 490?

We can find the highest common divisor of 144, 293, 60, 490 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, 293, 60, 490 i.e 1.

3. How can I use the GCD of 144, 293, 60, 490Calculator?

Out the numbers 144, 293, 60, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.