GCD of 120, 299, 442, 453 Calculator

Given Input numbers are 120, 299, 442, 453

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 299 :

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

1, 13, 23, 299

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

GCD of numbers is the greatest common divisor

So, the GCD (120, 299, 442, 453) = 1.

Given numbers are 120, 299, 442, 453

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 299 are 13 x 23

Prime factors of 442 are 2 x 13 x 17

Prime factors of 453 are 3 x 151

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

Given numbers are 120, 299, 442, 453

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

Apply this formula for all numbers.

Step1:

LCM(120, 299) = 35880

GCD(120, 299) = ( 120 x 299 ) / 35880

= 120 / 299

= 120

Step2:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1

Step3:

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

= 1 / 453

= 1

So, Greatest Common Divisor of 120, 299, 442, 453 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 758, 812, 819
• GCD of 564, 158, 771, 922
• GCD of 390, 243, 952, 210
• GCD of 376, 983, 487, 795
• GCD of 113, 887, 512, 315

Given numbers are 120, 299, 442, 453
The greatest common divisor of numbers 120, 299, 442, 453 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 299, 442, 453 is 1.

1. What is the GCD of 120, 299, 442, 453?

GCD of given numbers 120, 299, 442, 453 is 1

2. How to calculate the greatest common divisor of 120, 299, 442, 453?

We can find the highest common divisor of 120, 299, 442, 453 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 120, 299, 442, 453 i.e 1.

3. How can I use the GCD of 120, 299, 442, 453Calculator?

Out the numbers 120, 299, 442, 453 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.