GCD of 270, 122, 268, 852 Calculator

Given Input numbers are 270, 122, 268, 852

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 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (270, 122, 268, 852) = 2.

Given numbers are 270, 122, 268, 852

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 122 are 2 x 61

Prime factors of 268 are 2 x 2 x 67

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 270, 122, 268, 852 is 2.

Given numbers are 270, 122, 268, 852

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

Apply this formula for all numbers.

Step1:

LCM(270, 122) = 16470

GCD(270, 122) = ( 270 x 122 ) / 16470

= 270 / 122

= 270

Step2:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

Step3:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

So, Greatest Common Divisor of 270, 122, 268, 852 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 773, 568, 482
• GCD of 525, 328, 566, 413
• GCD of 690, 998, 225, 859
• GCD of 665, 940, 715, 440
• GCD of 870, 656, 305, 604

Given numbers are 270, 122, 268, 852
The greatest common divisor of numbers 270, 122, 268, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 122, 268, 852 is 2.

1. What is the GCD of 270, 122, 268, 852?

GCD of given numbers 270, 122, 268, 852 is 2

2. How to calculate the greatest common divisor of 270, 122, 268, 852?

We can find the highest common divisor of 270, 122, 268, 852 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, 122, 268, 852 i.e 2.

3. How can I use the GCD of 270, 122, 268, 852Calculator?

Out the numbers 270, 122, 268, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.