GCD of 413, 362, 492, 144 Calculator

Given Input numbers are 413, 362, 492, 144

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

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

GCD of numbers is the greatest common divisor

So, the GCD (413, 362, 492, 144) = 1.

Given numbers are 413, 362, 492, 144

The list of prime factors of all numbers are

Prime factors of 413 are 7 x 59

Prime factors of 362 are 2 x 181

Prime factors of 492 are 2 x 2 x 3 x 41

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

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

Given numbers are 413, 362, 492, 144

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

Apply this formula for all numbers.

Step1:

LCM(413, 362) = 149506

GCD(413, 362) = ( 413 x 362 ) / 149506

= 413 / 362

= 413

Step2:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 413, 362, 492, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 625, 912, 954
• GCD of 617, 822, 853, 857
• GCD of 227, 765, 789, 475
• GCD of 324, 705, 840, 668
• GCD of 643, 352, 410, 368

Given numbers are 413, 362, 492, 144
The greatest common divisor of numbers 413, 362, 492, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 413, 362, 492, 144 is 1.

1. What is the GCD of 413, 362, 492, 144?

GCD of given numbers 413, 362, 492, 144 is 1

2. How to calculate the greatest common divisor of 413, 362, 492, 144?

We can find the highest common divisor of 413, 362, 492, 144 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 413, 362, 492, 144 i.e 1.

3. How can I use the GCD of 413, 362, 492, 144Calculator?

Out the numbers 413, 362, 492, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.