GCD of 642, 388, 200, 994 Calculator

Given Input numbers are 642, 388, 200, 994

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 994 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (642, 388, 200, 994) = 2.

Given numbers are 642, 388, 200, 994

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 388 are 2 x 2 x 97

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 2¹

Therefore, GCD of 642, 388, 200, 994 is 2.

Given numbers are 642, 388, 200, 994

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

Apply this formula for all numbers.

Step1:

LCM(642, 388) = 124548

GCD(642, 388) = ( 642 x 388 ) / 124548

= 642 / 388

= 642

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

= 2 / 994

= 2

So, Greatest Common Divisor of 642, 388, 200, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 141, 564, 125
• GCD of 190, 641, 791, 449
• GCD of 458, 263, 436, 265
• GCD of 461, 593, 224, 816
• GCD of 578, 462, 821, 690

Given numbers are 642, 388, 200, 994
The greatest common divisor of numbers 642, 388, 200, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 388, 200, 994 is 2.

1. What is the GCD of 642, 388, 200, 994?

GCD of given numbers 642, 388, 200, 994 is 2

2. How to calculate the greatest common divisor of 642, 388, 200, 994?

We can find the highest common divisor of 642, 388, 200, 994 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 642, 388, 200, 994 i.e 2.

3. How can I use the GCD of 642, 388, 200, 994Calculator?

Out the numbers 642, 388, 200, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.