GCD of 842, 800, 476, 826 Calculator

Given Input numbers are 842, 800, 476, 826

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (842, 800, 476, 826) = 2.

Given numbers are 842, 800, 476, 826

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 842, 800, 476, 826 is 2.

Given numbers are 842, 800, 476, 826

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

Apply this formula for all numbers.

Step1:

LCM(842, 800) = 336800

GCD(842, 800) = ( 842 x 800 ) / 336800

= 842 / 800

= 842

Step2:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

So, Greatest Common Divisor of 842, 800, 476, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 231, 840, 434
• GCD of 293, 831, 811, 541
• GCD of 117, 473, 453, 122
• GCD of 938, 749, 975, 768
• GCD of 567, 376, 581, 789

Given numbers are 842, 800, 476, 826
The greatest common divisor of numbers 842, 800, 476, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 800, 476, 826 is 2.

1. What is the GCD of 842, 800, 476, 826?

GCD of given numbers 842, 800, 476, 826 is 2

2. How to calculate the greatest common divisor of 842, 800, 476, 826?

We can find the highest common divisor of 842, 800, 476, 826 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 842, 800, 476, 826 i.e 2.

3. How can I use the GCD of 842, 800, 476, 826Calculator?

Out the numbers 842, 800, 476, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.