GCD of 112, 400, 890, 827 Calculator

Given Input numbers are 112, 400, 890, 827

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

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

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 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

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 (112, 400, 890, 827) = 1.

Given numbers are 112, 400, 890, 827

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Prime factors of 890 are 2 x 5 x 89

Prime factors of 827 are 827

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

Given numbers are 112, 400, 890, 827

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

Apply this formula for all numbers.

Step1:

LCM(112, 400) = 2800

GCD(112, 400) = ( 112 x 400 ) / 2800

= 112 / 400

= 112

Step2:

LCM(16, 890) = 7120

GCD(16, 890) = ( 16 x 890 ) / 7120

= 16 / 890

= 16

Step3:

LCM(2, 827) = 1654

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

= 2 / 827

= 2

So, Greatest Common Divisor of 112, 400, 890, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 178, 778, 805
• GCD of 218, 276, 122, 597
• GCD of 292, 520, 233, 771
• GCD of 314, 749, 203, 347
• GCD of 887, 476, 227, 597

Given numbers are 112, 400, 890, 827
The greatest common divisor of numbers 112, 400, 890, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 400, 890, 827 is 1.

1. What is the GCD of 112, 400, 890, 827?

GCD of given numbers 112, 400, 890, 827 is 1

2. How to calculate the greatest common divisor of 112, 400, 890, 827?

We can find the highest common divisor of 112, 400, 890, 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 112, 400, 890, 827 i.e 1.

3. How can I use the GCD of 112, 400, 890, 827Calculator?

Out the numbers 112, 400, 890, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.