GCD of 767, 732, 105 Calculator

Given Input numbers are 767, 732, 105

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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 767, 732, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 732, 105 is 1.

Therefore, GCD of numbers 767, 732, 105 is 1

Given Input Data is 767, 732, 105

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 732 is 2 x 2 x 3 x 61

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(767, 732) = 561444

GCD(767, 732) = ( 767 x 732 ) / 561444

GCD(767, 732) = 561444 / 561444

GCD(767, 732) = 1

Step2:

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 767, 732, 105 is 1

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1. What is the GCD of 767, 732, 105?

GCD of 767, 732, 105 is 1

2. Where do I get the detailed procedure to find GCD of 767, 732, 105?

You can find a detailed procedure to find GCD of 767, 732, 105 on our page.

3. How to find GCD of 767, 732, 105 on a calculator?

You can find the GCD of 767, 732, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.