GCD of 824, 768, 106, 134 Calculator

Given Input numbers are 824, 768, 106, 134

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 134 :

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

1, 2, 67, 134

GCD of numbers is the greatest common divisor

So, the GCD (824, 768, 106, 134) = 2.

Given numbers are 824, 768, 106, 134

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 106 are 2 x 53

Prime factors of 134 are 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 824, 768, 106, 134 is 2.

Given numbers are 824, 768, 106, 134

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

Apply this formula for all numbers.

Step1:

LCM(824, 768) = 79104

GCD(824, 768) = ( 824 x 768 ) / 79104

= 824 / 768

= 824

Step2:

LCM(8, 106) = 424

GCD(8, 106) = ( 8 x 106 ) / 424

= 8 / 106

= 8

Step3:

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

= 2 / 134

= 2

So, Greatest Common Divisor of 824, 768, 106, 134 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 569, 258, 563
• GCD of 102, 435, 214, 533
• GCD of 465, 368, 255, 364
• GCD of 128, 197, 503, 147
• GCD of 784, 136, 200, 442

Given numbers are 824, 768, 106, 134
The greatest common divisor of numbers 824, 768, 106, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 768, 106, 134 is 2.

1. What is the GCD of 824, 768, 106, 134?

GCD of given numbers 824, 768, 106, 134 is 2

2. How to calculate the greatest common divisor of 824, 768, 106, 134?

We can find the highest common divisor of 824, 768, 106, 134 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 824, 768, 106, 134 i.e 2.

3. How can I use the GCD of 824, 768, 106, 134Calculator?

Out the numbers 824, 768, 106, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.