GCD of 134, 270, 268, 304 Calculator

Given Input numbers are 134, 270, 268, 304

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

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

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 268 :

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

1, 2, 4, 67, 134, 268

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD of numbers is the greatest common divisor

So, the GCD (134, 270, 268, 304) = 2.

Given numbers are 134, 270, 268, 304

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

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

Prime factors of 268 are 2 x 2 x 67

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 134, 270, 268, 304 is 2.

Given numbers are 134, 270, 268, 304

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

Apply this formula for all numbers.

Step1:

LCM(134, 270) = 18090

GCD(134, 270) = ( 134 x 270 ) / 18090

= 134 / 270

= 134

Step2:

LCM(2, 268) = 268

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

= 2 / 268

= 2

Step3:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

So, Greatest Common Divisor of 134, 270, 268, 304 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 350, 173, 302
• GCD of 370, 770, 987, 413
• GCD of 985, 942, 500, 736
• GCD of 895, 753, 986, 688
• GCD of 405, 416, 687, 775

Given numbers are 134, 270, 268, 304
The greatest common divisor of numbers 134, 270, 268, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 270, 268, 304 is 2.

1. What is the GCD of 134, 270, 268, 304?

GCD of given numbers 134, 270, 268, 304 is 2

2. How to calculate the greatest common divisor of 134, 270, 268, 304?

We can find the highest common divisor of 134, 270, 268, 304 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 134, 270, 268, 304 i.e 2.

3. How can I use the GCD of 134, 270, 268, 304Calculator?

Out the numbers 134, 270, 268, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.