GCD of 427, 392, 413 Calculator

Given Input numbers are 427, 392, 413

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 413 :

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

1, 7, 59, 413

GCD of numbers is the greatest common divisor

So, the GCD (427, 392, 413) = 7.

Given numbers are 427, 392, 413

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 413 are 7 x 59

The highest common occurrence is 7¹

Therefore, GCD of 427, 392, 413 is 7.

Given numbers are 427, 392, 413

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

Apply this formula for all numbers.

Step1:

LCM(427, 392) = 23912

GCD(427, 392) = ( 427 x 392 ) / 23912

= 427 / 392

= 427

Step2:

LCM(7, 413) = 413

GCD(7, 413) = ( 7 x 413 ) / 413

= 7 / 413

= 7

So, Greatest Common Divisor of 427, 392, 413 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 165, 481
• GCD of 177, 442, 571
• GCD of 494, 246, 824
• GCD of 325, 987, 516
• GCD of 752, 119, 162

Given numbers are 427, 392, 413
The greatest common divisor of numbers 427, 392, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 392, 413 is 7.

1. What is the GCD of 427, 392, 413?

GCD of given numbers 427, 392, 413 is 7

2. How to calculate the greatest common divisor of 427, 392, 413?

We can find the highest common divisor of 427, 392, 413 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, 392, 413 i.e 7.

3. How can I use the GCD of 427, 392, 413Calculator?

Out the numbers 427, 392, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.