GCD of 820, 662, 112, 858 Calculator

Given Input numbers are 820, 662, 112, 858

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

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 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

GCD of numbers is the greatest common divisor

So, the GCD (820, 662, 112, 858) = 2.

Given numbers are 820, 662, 112, 858

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 662 are 2 x 331

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

Prime factors of 858 are 2 x 3 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 820, 662, 112, 858 is 2.

Given numbers are 820, 662, 112, 858

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

Apply this formula for all numbers.

Step1:

LCM(820, 662) = 271420

GCD(820, 662) = ( 820 x 662 ) / 271420

= 820 / 662

= 820

Step2:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

Step3:

LCM(2, 858) = 858

GCD(2, 858) = ( 2 x 858 ) / 858

= 2 / 858

= 2

So, Greatest Common Divisor of 820, 662, 112, 858 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 684, 679, 720
• GCD of 593, 753, 891, 454
• GCD of 327, 551, 723, 549
• GCD of 356, 880, 191, 513
• GCD of 814, 429, 976, 256

Given numbers are 820, 662, 112, 858
The greatest common divisor of numbers 820, 662, 112, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 662, 112, 858 is 2.

1. What is the GCD of 820, 662, 112, 858?

GCD of given numbers 820, 662, 112, 858 is 2

2. How to calculate the greatest common divisor of 820, 662, 112, 858?

We can find the highest common divisor of 820, 662, 112, 858 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 820, 662, 112, 858 i.e 2.

3. How can I use the GCD of 820, 662, 112, 858Calculator?

Out the numbers 820, 662, 112, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.