GCD of 826, 400, 470, 404 Calculator

Given Input numbers are 826, 400, 470, 404

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

Divisors of 826 :

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

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

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

GCD of numbers is the greatest common divisor

So, the GCD (826, 400, 470, 404) = 2.

Given numbers are 826, 400, 470, 404

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

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

Prime factors of 470 are 2 x 5 x 47

Prime factors of 404 are 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 826, 400, 470, 404 is 2.

Given numbers are 826, 400, 470, 404

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

Apply this formula for all numbers.

Step1:

LCM(826, 400) = 165200

GCD(826, 400) = ( 826 x 400 ) / 165200

= 826 / 400

= 826

Step2:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

Step3:

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

= 2 / 404

= 2

So, Greatest Common Divisor of 826, 400, 470, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 323, 437, 569
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Given numbers are 826, 400, 470, 404
The greatest common divisor of numbers 826, 400, 470, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 400, 470, 404 is 2.

1. What is the GCD of 826, 400, 470, 404?

GCD of given numbers 826, 400, 470, 404 is 2

2. How to calculate the greatest common divisor of 826, 400, 470, 404?

We can find the highest common divisor of 826, 400, 470, 404 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 826, 400, 470, 404 i.e 2.

3. How can I use the GCD of 826, 400, 470, 404Calculator?

Out the numbers 826, 400, 470, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.