GCD of 107, 738, 160 Calculator

Given Input numbers are 107, 738, 160

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 107, 738, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 738, 160 is 1.

Therefore, GCD of numbers 107, 738, 160 is 1

Given Input Data is 107, 738, 160

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

Prime Factorization of 107 is 107

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(107, 738) = 78966

GCD(107, 738) = ( 107 x 738 ) / 78966

GCD(107, 738) = 78966 / 78966

GCD(107, 738) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 107, 738, 160 is 1

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1. What is the GCD of 107, 738, 160?

GCD of 107, 738, 160 is 1

2. Where do I get the detailed procedure to find GCD of 107, 738, 160?

You can find a detailed procedure to find GCD of 107, 738, 160 on our page.

3. How to find GCD of 107, 738, 160 on a calculator?

You can find the GCD of 107, 738, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.