GCD of 768, 412, 35, 105 Calculator

Given Input numbers are 768, 412, 35, 105

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 768, 412, 35, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 412, 35, 105 is 1.

Therefore, GCD of numbers 768, 412, 35, 105 is 1

Given Input Data is 768, 412, 35, 105

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 35 is 5 x 7

Prime Factorization of 105 is 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(768, 412) = 79104

GCD(768, 412) = ( 768 x 412 ) / 79104

GCD(768, 412) = 316416 / 79104

GCD(768, 412) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 35

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

LCM(4, 35) = 140

GCD(4, 35) = ( 4 x 35 ) / 140

GCD(4, 35) = 140 / 140

GCD(4, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 768, 412, 35, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 708, 32, 392
• GCD of 350, 215, 92, 172
• GCD of 171, 659, 89, 755
• GCD of 319, 904, 37, 434
• GCD of 217, 692, 50, 325

1. What is the GCD of 768, 412, 35, 105?

GCD of 768, 412, 35, 105 is 1

2. Where do I get the detailed procedure to find GCD of 768, 412, 35, 105?

You can find a detailed procedure to find GCD of 768, 412, 35, 105 on our page.

3. How to find GCD of 768, 412, 35, 105 on a calculator?

You can find the GCD of 768, 412, 35, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.