GCD of 427, 382, 10, 992 Calculator

Given Input numbers are 427, 382, 10, 992

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 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (427, 382, 10, 992) = 1.

Given numbers are 427, 382, 10, 992

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 382 are 2 x 191

Prime factors of 10 are 2 x 5

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 427, 382, 10, 992

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

Apply this formula for all numbers.

Step1:

LCM(427, 382) = 163114

GCD(427, 382) = ( 427 x 382 ) / 163114

= 427 / 382

= 427

Step2:

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

= 1 / 10

= 1

Step3:

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

= 1 / 992

= 1

So, Greatest Common Divisor of 427, 382, 10, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 470, 12, 904
• GCD of 764, 499, 93, 431
• GCD of 118, 796, 12, 980
• GCD of 446, 942, 35, 689
• GCD of 649, 132, 37, 352

Given numbers are 427, 382, 10, 992
The greatest common divisor of numbers 427, 382, 10, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 382, 10, 992 is 1.

1. What is the GCD of 427, 382, 10, 992?

GCD of given numbers 427, 382, 10, 992 is 1

2. How to calculate the greatest common divisor of 427, 382, 10, 992?

We can find the highest common divisor of 427, 382, 10, 992 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, 382, 10, 992 i.e 1.

3. How can I use the GCD of 427, 382, 10, 992Calculator?

Out the numbers 427, 382, 10, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.