GCD of 760, 914, 389 Calculator

Given Input numbers are 760, 914, 389

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 914

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

1, 2, 457, 914

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 760, 914, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 914, 389 is 1.

Therefore, GCD of numbers 760, 914, 389 is 1

Given Input Data is 760, 914, 389

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 914 is 2 x 457

Prime Factorization of 389 is 389

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, 914) = 347320

GCD(760, 914) = ( 760 x 914 ) / 347320

GCD(760, 914) = 694640 / 347320

GCD(760, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 389

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

LCM(2, 389) = 778

GCD(2, 389) = ( 2 x 389 ) / 778

GCD(2, 389) = 778 / 778

GCD(2, 389) = 1

GCD of 760, 914, 389 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 247, 778
• GCD of 647, 365, 347
• GCD of 770, 442, 846
• GCD of 431, 746, 756
• GCD of 931, 381, 768

1. What is the GCD of 760, 914, 389?

GCD of 760, 914, 389 is 1

2. Where do I get the detailed procedure to find GCD of 760, 914, 389?

You can find a detailed procedure to find GCD of 760, 914, 389 on our page.

3. How to find GCD of 760, 914, 389 on a calculator?

You can find the GCD of 760, 914, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.