GCD of 270, 996, 194, 974 Calculator

Given Input numbers are 270, 996, 194, 974

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (270, 996, 194, 974) = 2.

Given numbers are 270, 996, 194, 974

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 194 are 2 x 97

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 270, 996, 194, 974 is 2.

Given numbers are 270, 996, 194, 974

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

Apply this formula for all numbers.

Step1:

LCM(270, 996) = 44820

GCD(270, 996) = ( 270 x 996 ) / 44820

= 270 / 996

= 270

Step2:

LCM(6, 194) = 582

GCD(6, 194) = ( 6 x 194 ) / 582

= 6 / 194

= 6

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 270, 996, 194, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 449, 470, 285
• GCD of 823, 586, 361, 794
• GCD of 604, 741, 167, 345
• GCD of 825, 350, 984, 422
• GCD of 551, 477, 754, 117

Given numbers are 270, 996, 194, 974
The greatest common divisor of numbers 270, 996, 194, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 996, 194, 974 is 2.

1. What is the GCD of 270, 996, 194, 974?

GCD of given numbers 270, 996, 194, 974 is 2

2. How to calculate the greatest common divisor of 270, 996, 194, 974?

We can find the highest common divisor of 270, 996, 194, 974 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 270, 996, 194, 974 i.e 2.

3. How can I use the GCD of 270, 996, 194, 974Calculator?

Out the numbers 270, 996, 194, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.