GCD of 144, 421, 175, 299 Calculator

Given Input numbers are 144, 421, 175, 299

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 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

GCD of numbers is the greatest common divisor

So, the GCD (144, 421, 175, 299) = 1.

Given numbers are 144, 421, 175, 299

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 421 are 421

Prime factors of 175 are 5 x 5 x 7

Prime factors of 299 are 13 x 23

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

Given numbers are 144, 421, 175, 299

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

Apply this formula for all numbers.

Step1:

LCM(144, 421) = 60624

GCD(144, 421) = ( 144 x 421 ) / 60624

= 144 / 421

= 144

Step2:

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

= 1 / 175

= 1

Step3:

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

= 1 / 299

= 1

So, Greatest Common Divisor of 144, 421, 175, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 570, 515, 244
• GCD of 354, 468, 718, 250
• GCD of 655, 167, 371, 673
• GCD of 608, 343, 991, 257
• GCD of 376, 977, 484, 514

Given numbers are 144, 421, 175, 299
The greatest common divisor of numbers 144, 421, 175, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 421, 175, 299 is 1.

1. What is the GCD of 144, 421, 175, 299?

GCD of given numbers 144, 421, 175, 299 is 1

2. How to calculate the greatest common divisor of 144, 421, 175, 299?

We can find the highest common divisor of 144, 421, 175, 299 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, 421, 175, 299 i.e 1.

3. How can I use the GCD of 144, 421, 175, 299Calculator?

Out the numbers 144, 421, 175, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.