GCD of 812, 413, 861, 420 Calculator

Given Input numbers are 812, 413, 861, 420

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

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

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

GCD of numbers is the greatest common divisor

So, the GCD (812, 413, 861, 420) = 7.

Given numbers are 812, 413, 861, 420

The list of prime factors of all numbers are

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 413 are 7 x 59

Prime factors of 861 are 3 x 7 x 41

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

The highest common occurrence is 7¹

Therefore, GCD of 812, 413, 861, 420 is 7.

Given numbers are 812, 413, 861, 420

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

Apply this formula for all numbers.

Step1:

LCM(812, 413) = 47908

GCD(812, 413) = ( 812 x 413 ) / 47908

= 812 / 413

= 812

Step2:

LCM(7, 861) = 861

GCD(7, 861) = ( 7 x 861 ) / 861

= 7 / 861

= 7

Step3:

LCM(7, 420) = 420

GCD(7, 420) = ( 7 x 420 ) / 420

= 7 / 420

= 7

So, Greatest Common Divisor of 812, 413, 861, 420 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 427, 368, 681
• GCD of 980, 185, 653, 449
• GCD of 837, 582, 388, 884
• GCD of 645, 633, 713, 596
• GCD of 176, 129, 368, 532

Given numbers are 812, 413, 861, 420
The greatest common divisor of numbers 812, 413, 861, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 413, 861, 420 is 7.

1. What is the GCD of 812, 413, 861, 420?

GCD of given numbers 812, 413, 861, 420 is 7

2. How to calculate the greatest common divisor of 812, 413, 861, 420?

We can find the highest common divisor of 812, 413, 861, 420 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 812, 413, 861, 420 i.e 7.

3. How can I use the GCD of 812, 413, 861, 420Calculator?

Out the numbers 812, 413, 861, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.