GCD of 298, 952, 162, 994 Calculator

Given Input numbers are 298, 952, 162, 994

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

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 (298, 952, 162, 994) = 2.

Given numbers are 298, 952, 162, 994

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 2¹

Therefore, GCD of 298, 952, 162, 994 is 2.

Given numbers are 298, 952, 162, 994

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

Apply this formula for all numbers.

Step1:

LCM(298, 952) = 141848

GCD(298, 952) = ( 298 x 952 ) / 141848

= 298 / 952

= 298

Step2:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

Step3:

LCM(2, 994) = 994

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

= 2 / 994

= 2

So, Greatest Common Divisor of 298, 952, 162, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 873, 708, 729
• GCD of 280, 323, 769, 893
• GCD of 179, 955, 994, 452
• GCD of 783, 742, 790, 384
• GCD of 146, 457, 374, 314

Given numbers are 298, 952, 162, 994
The greatest common divisor of numbers 298, 952, 162, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 952, 162, 994 is 2.

1. What is the GCD of 298, 952, 162, 994?

GCD of given numbers 298, 952, 162, 994 is 2

2. How to calculate the greatest common divisor of 298, 952, 162, 994?

We can find the highest common divisor of 298, 952, 162, 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 298, 952, 162, 994 i.e 2.

3. How can I use the GCD of 298, 952, 162, 994Calculator?

Out the numbers 298, 952, 162, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.