GCD of 224, 375, 459, 120 Calculator

Given Input numbers are 224, 375, 459, 120

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

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

GCD of numbers is the greatest common divisor

So, the GCD (224, 375, 459, 120) = 1.

Given numbers are 224, 375, 459, 120

The list of prime factors of all numbers are

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 459 are 3 x 3 x 3 x 17

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

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

Given numbers are 224, 375, 459, 120

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

Apply this formula for all numbers.

Step1:

LCM(224, 375) = 84000

GCD(224, 375) = ( 224 x 375 ) / 84000

= 224 / 375

= 224

Step2:

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

= 1 / 459

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 224, 375, 459, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 880, 414, 810
• GCD of 267, 343, 836, 560
• GCD of 893, 877, 131, 965
• GCD of 342, 809, 173, 707
• GCD of 465, 606, 240, 813

Given numbers are 224, 375, 459, 120
The greatest common divisor of numbers 224, 375, 459, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 375, 459, 120 is 1.

1. What is the GCD of 224, 375, 459, 120?

GCD of given numbers 224, 375, 459, 120 is 1

2. How to calculate the greatest common divisor of 224, 375, 459, 120?

We can find the highest common divisor of 224, 375, 459, 120 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 224, 375, 459, 120 i.e 1.

3. How can I use the GCD of 224, 375, 459, 120Calculator?

Out the numbers 224, 375, 459, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.