GCD of 822, 992, 464, 918 Calculator

Given Input numbers are 822, 992, 464, 918

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (822, 992, 464, 918) = 2.

Given numbers are 822, 992, 464, 918

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 822, 992, 464, 918 is 2.

Given numbers are 822, 992, 464, 918

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

Apply this formula for all numbers.

Step1:

LCM(822, 992) = 407712

GCD(822, 992) = ( 822 x 992 ) / 407712

= 822 / 992

= 822

Step2:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

Step3:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

So, Greatest Common Divisor of 822, 992, 464, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 558, 323, 470
• GCD of 981, 178, 585, 295
• GCD of 972, 753, 196, 245
• GCD of 301, 621, 516, 896
• GCD of 892, 917, 908, 519

Given numbers are 822, 992, 464, 918
The greatest common divisor of numbers 822, 992, 464, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 992, 464, 918 is 2.

1. What is the GCD of 822, 992, 464, 918?

GCD of given numbers 822, 992, 464, 918 is 2

2. How to calculate the greatest common divisor of 822, 992, 464, 918?

We can find the highest common divisor of 822, 992, 464, 918 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 822, 992, 464, 918 i.e 2.

3. How can I use the GCD of 822, 992, 464, 918Calculator?

Out the numbers 822, 992, 464, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.