GCD of 821, 873, 782, 112 Calculator

Given Input numbers are 821, 873, 782, 112

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 112 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (821, 873, 782, 112) = 1.

Given numbers are 821, 873, 782, 112

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 873 are 3 x 3 x 97

Prime factors of 782 are 2 x 17 x 23

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

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

Given numbers are 821, 873, 782, 112

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

Apply this formula for all numbers.

Step1:

LCM(821, 873) = 716733

GCD(821, 873) = ( 821 x 873 ) / 716733

= 821 / 873

= 821

Step2:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 821, 873, 782, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 302, 380, 153
• GCD of 597, 216, 119, 855
• GCD of 191, 860, 623, 636
• GCD of 304, 136, 618, 112
• GCD of 724, 874, 994, 416

Given numbers are 821, 873, 782, 112
The greatest common divisor of numbers 821, 873, 782, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 873, 782, 112 is 1.

1. What is the GCD of 821, 873, 782, 112?

GCD of given numbers 821, 873, 782, 112 is 1

2. How to calculate the greatest common divisor of 821, 873, 782, 112?

We can find the highest common divisor of 821, 873, 782, 112 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 821, 873, 782, 112 i.e 1.

3. How can I use the GCD of 821, 873, 782, 112Calculator?

Out the numbers 821, 873, 782, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.