GCD of 994, 342, 420, 393 Calculator

Given Input numbers are 994, 342, 420, 393

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

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

GCD of numbers is the greatest common divisor

So, the GCD (994, 342, 420, 393) = 1.

Given numbers are 994, 342, 420, 393

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 393 are 3 x 131

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

Given numbers are 994, 342, 420, 393

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

Apply this formula for all numbers.

Step1:

LCM(994, 342) = 169974

GCD(994, 342) = ( 994 x 342 ) / 169974

= 994 / 342

= 994

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 393) = 786

GCD(2, 393) = ( 2 x 393 ) / 786

= 2 / 393

= 2

So, Greatest Common Divisor of 994, 342, 420, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 409, 509, 220
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• GCD of 375, 912, 600, 680
• GCD of 977, 565, 177, 944
• GCD of 478, 439, 833, 380

Given numbers are 994, 342, 420, 393
The greatest common divisor of numbers 994, 342, 420, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 342, 420, 393 is 1.

1. What is the GCD of 994, 342, 420, 393?

GCD of given numbers 994, 342, 420, 393 is 1

2. How to calculate the greatest common divisor of 994, 342, 420, 393?

We can find the highest common divisor of 994, 342, 420, 393 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 994, 342, 420, 393 i.e 1.

3. How can I use the GCD of 994, 342, 420, 393Calculator?

Out the numbers 994, 342, 420, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.