GCD of 882, 496, 395, 900 Calculator

Given Input numbers are 882, 496, 395, 900

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

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 (882, 496, 395, 900) = 1.

Given numbers are 882, 496, 395, 900

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 395 are 5 x 79

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 882, 496, 395, 900

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

Apply this formula for all numbers.

Step1:

LCM(882, 496) = 218736

GCD(882, 496) = ( 882 x 496 ) / 218736

= 882 / 496

= 882

Step2:

LCM(2, 395) = 790

GCD(2, 395) = ( 2 x 395 ) / 790

= 2 / 395

= 2

Step3:

LCM(1, 900) = 900

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

= 1 / 900

= 1

So, Greatest Common Divisor of 882, 496, 395, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 892, 787, 373
• GCD of 444, 291, 119, 607
• GCD of 774, 587, 921, 789
• GCD of 763, 144, 500, 478
• GCD of 471, 859, 104, 996

Given numbers are 882, 496, 395, 900
The greatest common divisor of numbers 882, 496, 395, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 496, 395, 900 is 1.

1. What is the GCD of 882, 496, 395, 900?

GCD of given numbers 882, 496, 395, 900 is 1

2. How to calculate the greatest common divisor of 882, 496, 395, 900?

We can find the highest common divisor of 882, 496, 395, 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 882, 496, 395, 900 i.e 1.

3. How can I use the GCD of 882, 496, 395, 900Calculator?

Out the numbers 882, 496, 395, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.