GCD of 826, 800, 420, 478 Calculator

Given Input numbers are 826, 800, 420, 478

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 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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

GCD of numbers is the greatest common divisor

So, the GCD (826, 800, 420, 478) = 2.

Given numbers are 826, 800, 420, 478

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 478 are 2 x 239

The highest common occurrence is 2¹

Therefore, GCD of 826, 800, 420, 478 is 2.

Given numbers are 826, 800, 420, 478

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

Apply this formula for all numbers.

Step1:

LCM(826, 800) = 330400

GCD(826, 800) = ( 826 x 800 ) / 330400

= 826 / 800

= 826

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

= 2 / 478

= 2

So, Greatest Common Divisor of 826, 800, 420, 478 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 317, 904, 455
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• GCD of 322, 952, 232, 703
• GCD of 610, 644, 245, 509
• GCD of 965, 700, 575, 112

Given numbers are 826, 800, 420, 478
The greatest common divisor of numbers 826, 800, 420, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 800, 420, 478 is 2.

1. What is the GCD of 826, 800, 420, 478?

GCD of given numbers 826, 800, 420, 478 is 2

2. How to calculate the greatest common divisor of 826, 800, 420, 478?

We can find the highest common divisor of 826, 800, 420, 478 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, 800, 420, 478 i.e 2.

3. How can I use the GCD of 826, 800, 420, 478Calculator?

Out the numbers 826, 800, 420, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.