GCD of 455, 299, 112, 421 Calculator

Given Input numbers are 455, 299, 112, 421

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

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 299 :

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

1, 13, 23, 299

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 421 :

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

1, 421

GCD of numbers is the greatest common divisor

So, the GCD (455, 299, 112, 421) = 1.

Given numbers are 455, 299, 112, 421

The list of prime factors of all numbers are

Prime factors of 455 are 5 x 7 x 13

Prime factors of 299 are 13 x 23

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

Prime factors of 421 are 421

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

Given numbers are 455, 299, 112, 421

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

Apply this formula for all numbers.

Step1:

LCM(455, 299) = 10465

GCD(455, 299) = ( 455 x 299 ) / 10465

= 455 / 299

= 455

Step2:

LCM(13, 112) = 1456

GCD(13, 112) = ( 13 x 112 ) / 1456

= 13 / 112

= 13

Step3:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1

So, Greatest Common Divisor of 455, 299, 112, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 210, 727, 658
• GCD of 225, 981, 232, 195
• GCD of 274, 370, 122, 195
• GCD of 287, 546, 329, 522
• GCD of 737, 270, 862, 583

Given numbers are 455, 299, 112, 421
The greatest common divisor of numbers 455, 299, 112, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 455, 299, 112, 421 is 1.

1. What is the GCD of 455, 299, 112, 421?

GCD of given numbers 455, 299, 112, 421 is 1

2. How to calculate the greatest common divisor of 455, 299, 112, 421?

We can find the highest common divisor of 455, 299, 112, 421 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 455, 299, 112, 421 i.e 1.

3. How can I use the GCD of 455, 299, 112, 421Calculator?

Out the numbers 455, 299, 112, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.