GCD of 382, 888, 253, 900 Calculator

Given Input numbers are 382, 888, 253, 900

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

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 (382, 888, 253, 900) = 1.

Given numbers are 382, 888, 253, 900

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 253 are 11 x 23

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 382, 888, 253, 900

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

Apply this formula for all numbers.

Step1:

LCM(382, 888) = 169608

GCD(382, 888) = ( 382 x 888 ) / 169608

= 382 / 888

= 382

Step2:

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

= 2 / 253

= 2

Step3:

LCM(1, 900) = 900

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

= 1 / 900

= 1

So, Greatest Common Divisor of 382, 888, 253, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 497, 307, 806, 291
• GCD of 266, 246, 124, 203
• GCD of 769, 185, 356, 795
• GCD of 320, 142, 836, 685
• GCD of 263, 524, 714, 366

Given numbers are 382, 888, 253, 900
The greatest common divisor of numbers 382, 888, 253, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 888, 253, 900 is 1.

1. What is the GCD of 382, 888, 253, 900?

GCD of given numbers 382, 888, 253, 900 is 1

2. How to calculate the greatest common divisor of 382, 888, 253, 900?

We can find the highest common divisor of 382, 888, 253, 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 382, 888, 253, 900 i.e 1.

3. How can I use the GCD of 382, 888, 253, 900Calculator?

Out the numbers 382, 888, 253, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.