GCD of 134, 384, 688, 268 Calculator

Given Input numbers are 134, 384, 688, 268

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 268 :

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

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (134, 384, 688, 268) = 2.

Given numbers are 134, 384, 688, 268

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 134, 384, 688, 268 is 2.

Given numbers are 134, 384, 688, 268

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

Apply this formula for all numbers.

Step1:

LCM(134, 384) = 25728

GCD(134, 384) = ( 134 x 384 ) / 25728

= 134 / 384

= 134

Step2:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

Step3:

LCM(2, 268) = 268

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

= 2 / 268

= 2

So, Greatest Common Divisor of 134, 384, 688, 268 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 876, 358, 728
• GCD of 636, 958, 226, 659
• GCD of 401, 395, 237, 567
• GCD of 170, 324, 343, 759
• GCD of 356, 245, 796, 901

Given numbers are 134, 384, 688, 268
The greatest common divisor of numbers 134, 384, 688, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 384, 688, 268 is 2.

1. What is the GCD of 134, 384, 688, 268?

GCD of given numbers 134, 384, 688, 268 is 2

2. How to calculate the greatest common divisor of 134, 384, 688, 268?

We can find the highest common divisor of 134, 384, 688, 268 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, 384, 688, 268 i.e 2.

3. How can I use the GCD of 134, 384, 688, 268Calculator?

Out the numbers 134, 384, 688, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.