GCD of 427, 805, 231 Calculator

Given Input numbers are 427, 805, 231

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (427, 805, 231) = 7.

Given numbers are 427, 805, 231

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 805 are 5 x 7 x 23

Prime factors of 231 are 3 x 7 x 11

The highest common occurrence is 7¹

Therefore, GCD of 427, 805, 231 is 7.

Given numbers are 427, 805, 231

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

Apply this formula for all numbers.

Step1:

LCM(427, 805) = 49105

GCD(427, 805) = ( 427 x 805 ) / 49105

= 427 / 805

= 427

Step2:

LCM(7, 231) = 231

GCD(7, 231) = ( 7 x 231 ) / 231

= 7 / 231

= 7

So, Greatest Common Divisor of 427, 805, 231 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 757, 621
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Given numbers are 427, 805, 231
The greatest common divisor of numbers 427, 805, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 805, 231 is 7.

1. What is the GCD of 427, 805, 231?

GCD of given numbers 427, 805, 231 is 7

2. How to calculate the greatest common divisor of 427, 805, 231?

We can find the highest common divisor of 427, 805, 231 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 427, 805, 231 i.e 7.

3. How can I use the GCD of 427, 805, 231Calculator?

Out the numbers 427, 805, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.