GCD of 994, 172, 300, 942 Calculator

Given Input numbers are 994, 172, 300, 942

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 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (994, 172, 300, 942) = 2.

Given numbers are 994, 172, 300, 942

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 172 are 2 x 2 x 43

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 2¹

Therefore, GCD of 994, 172, 300, 942 is 2.

Given numbers are 994, 172, 300, 942

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

Apply this formula for all numbers.

Step1:

LCM(994, 172) = 85484

GCD(994, 172) = ( 994 x 172 ) / 85484

= 994 / 172

= 994

Step2:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

Step3:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

So, Greatest Common Divisor of 994, 172, 300, 942 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 761, 646, 958
• GCD of 319, 969, 622, 275
• GCD of 322, 145, 277, 161
• GCD of 553, 409, 410, 721
• GCD of 337, 675, 292, 714

Given numbers are 994, 172, 300, 942
The greatest common divisor of numbers 994, 172, 300, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 172, 300, 942 is 2.

1. What is the GCD of 994, 172, 300, 942?

GCD of given numbers 994, 172, 300, 942 is 2

2. How to calculate the greatest common divisor of 994, 172, 300, 942?

We can find the highest common divisor of 994, 172, 300, 942 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, 172, 300, 942 i.e 2.

3. How can I use the GCD of 994, 172, 300, 942Calculator?

Out the numbers 994, 172, 300, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.