GCD of 460, 422, 198, 992 Calculator

Given Input numbers are 460, 422, 198, 992

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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 (460, 422, 198, 992) = 2.

Given numbers are 460, 422, 198, 992

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 422 are 2 x 211

Prime factors of 198 are 2 x 3 x 3 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 460, 422, 198, 992 is 2.

Given numbers are 460, 422, 198, 992

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

Apply this formula for all numbers.

Step1:

LCM(460, 422) = 97060

GCD(460, 422) = ( 460 x 422 ) / 97060

= 460 / 422

= 460

Step2:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 460, 422, 198, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 890, 454, 891
• GCD of 658, 544, 540, 131
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• GCD of 649, 729, 780, 848

Given numbers are 460, 422, 198, 992
The greatest common divisor of numbers 460, 422, 198, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 422, 198, 992 is 2.

1. What is the GCD of 460, 422, 198, 992?

GCD of given numbers 460, 422, 198, 992 is 2

2. How to calculate the greatest common divisor of 460, 422, 198, 992?

We can find the highest common divisor of 460, 422, 198, 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 460, 422, 198, 992 i.e 2.

3. How can I use the GCD of 460, 422, 198, 992Calculator?

Out the numbers 460, 422, 198, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.