GCD of 499, 367, 112, 420 Calculator

Given Input numbers are 499, 367, 112, 420

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

Divisors of 499 :

The positive integer divisors of 499 that completely divides 499 are.

1, 499

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (499, 367, 112, 420) = 1.

Given numbers are 499, 367, 112, 420

The list of prime factors of all numbers are

Prime factors of 499 are 499

Prime factors of 367 are 367

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 499, 367, 112, 420

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

Apply this formula for all numbers.

Step1:

LCM(499, 367) = 183133

GCD(499, 367) = ( 499 x 367 ) / 183133

= 499 / 367

= 499

Step2:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 499, 367, 112, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 844, 871, 330
• GCD of 148, 211, 404, 620
• GCD of 906, 925, 665, 920
• GCD of 824, 572, 209, 939
• GCD of 399, 666, 985, 956

Given numbers are 499, 367, 112, 420
The greatest common divisor of numbers 499, 367, 112, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 499, 367, 112, 420 is 1.

1. What is the GCD of 499, 367, 112, 420?

GCD of given numbers 499, 367, 112, 420 is 1

2. How to calculate the greatest common divisor of 499, 367, 112, 420?

We can find the highest common divisor of 499, 367, 112, 420 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 499, 367, 112, 420 i.e 1.

3. How can I use the GCD of 499, 367, 112, 420Calculator?

Out the numbers 499, 367, 112, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.