GCD of 462, 138, 992, 299 Calculator

Given Input numbers are 462, 138, 992, 299

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

GCD of numbers is the greatest common divisor

So, the GCD (462, 138, 992, 299) = 1.

Given numbers are 462, 138, 992, 299

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 138 are 2 x 3 x 23

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

Prime factors of 299 are 13 x 23

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

Given numbers are 462, 138, 992, 299

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

Apply this formula for all numbers.

Step1:

LCM(462, 138) = 10626

GCD(462, 138) = ( 462 x 138 ) / 10626

= 462 / 138

= 462

Step2:

LCM(6, 992) = 2976

GCD(6, 992) = ( 6 x 992 ) / 2976

= 6 / 992

= 6

Step3:

LCM(2, 299) = 598

GCD(2, 299) = ( 2 x 299 ) / 598

= 2 / 299

= 2

So, Greatest Common Divisor of 462, 138, 992, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 182, 240, 508
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Given numbers are 462, 138, 992, 299
The greatest common divisor of numbers 462, 138, 992, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 138, 992, 299 is 1.

1. What is the GCD of 462, 138, 992, 299?

GCD of given numbers 462, 138, 992, 299 is 1

2. How to calculate the greatest common divisor of 462, 138, 992, 299?

We can find the highest common divisor of 462, 138, 992, 299 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 462, 138, 992, 299 i.e 1.

3. How can I use the GCD of 462, 138, 992, 299Calculator?

Out the numbers 462, 138, 992, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.