GCD of 760, 193, 13, 914 Calculator

Given Input numbers are 760, 193, 13, 914

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 760, 193, 13, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 193, 13, 914 is 1.

Therefore, GCD of numbers 760, 193, 13, 914 is 1

Given Input Data is 760, 193, 13, 914

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 193 is 193

Prime Factorization of 13 is 13

Prime Factorization of 914 is 2 x 457

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(760, 193) = 146680

GCD(760, 193) = ( 760 x 193 ) / 146680

GCD(760, 193) = 146680 / 146680

GCD(760, 193) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 760, 193, 13, 914 is 1

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• GCD of 982, 177, 67, 934
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1. What is the GCD of 760, 193, 13, 914?

GCD of 760, 193, 13, 914 is 1

2. Where do I get the detailed procedure to find GCD of 760, 193, 13, 914?

You can find a detailed procedure to find GCD of 760, 193, 13, 914 on our page.

3. How to find GCD of 760, 193, 13, 914 on a calculator?

You can find the GCD of 760, 193, 13, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.