GCD of 400, 882, 508, 827 Calculator

Given Input numbers are 400, 882, 508, 827

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

GCD of numbers is the greatest common divisor

So, the GCD (400, 882, 508, 827) = 1.

Given numbers are 400, 882, 508, 827

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 827 are 827

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

Given numbers are 400, 882, 508, 827

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

Apply this formula for all numbers.

Step1:

LCM(400, 882) = 176400

GCD(400, 882) = ( 400 x 882 ) / 176400

= 400 / 882

= 400

Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

Step3:

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

= 2 / 827

= 2

So, Greatest Common Divisor of 400, 882, 508, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 472, 514, 699
• GCD of 848, 667, 301, 453
• GCD of 193, 864, 699, 274
• GCD of 362, 698, 919, 743
• GCD of 926, 833, 105, 568

Given numbers are 400, 882, 508, 827
The greatest common divisor of numbers 400, 882, 508, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 882, 508, 827 is 1.

1. What is the GCD of 400, 882, 508, 827?

GCD of given numbers 400, 882, 508, 827 is 1

2. How to calculate the greatest common divisor of 400, 882, 508, 827?

We can find the highest common divisor of 400, 882, 508, 827 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 400, 882, 508, 827 i.e 1.

3. How can I use the GCD of 400, 882, 508, 827Calculator?

Out the numbers 400, 882, 508, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.