GCD of 224, 538, 75, 900 Calculator

Given Input numbers are 224, 538, 75, 900

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 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (224, 538, 75, 900) = 1.

Given numbers are 224, 538, 75, 900

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 538 are 2 x 269

Prime factors of 75 are 3 x 5 x 5

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 224, 538, 75, 900

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

Apply this formula for all numbers.

Step1:

LCM(224, 538) = 60256

GCD(224, 538) = ( 224 x 538 ) / 60256

= 224 / 538

= 224

Step2:

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

= 2 / 75

= 2

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 224, 538, 75, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 884, 98, 772
• GCD of 309, 789, 50, 770
• GCD of 519, 285, 22, 186
• GCD of 467, 878, 24, 641
• GCD of 519, 135, 22, 940

Given numbers are 224, 538, 75, 900
The greatest common divisor of numbers 224, 538, 75, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 538, 75, 900 is 1.

1. What is the GCD of 224, 538, 75, 900?

GCD of given numbers 224, 538, 75, 900 is 1

2. How to calculate the greatest common divisor of 224, 538, 75, 900?

We can find the highest common divisor of 224, 538, 75, 900 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, 538, 75, 900 i.e 1.

3. How can I use the GCD of 224, 538, 75, 900Calculator?

Out the numbers 224, 538, 75, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.