GCD of 658, 760, 79, 914 Calculator

Given Input numbers are 658, 760, 79, 914

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

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 658, 760, 79, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 760, 79, 914 is 1.

Therefore, GCD of numbers 658, 760, 79, 914 is 1

Given Input Data is 658, 760, 79, 914

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

Prime Factorization of 658 is 2 x 7 x 47

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

Prime Factorization of 79 is 79

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(658, 760) = 250040

GCD(658, 760) = ( 658 x 760 ) / 250040

GCD(658, 760) = 500080 / 250040

GCD(658, 760) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 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 658, 760, 79, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 293, 71, 717
• GCD of 309, 996, 93, 997
• GCD of 943, 369, 30, 274
• GCD of 556, 156, 46, 825
• GCD of 165, 241, 48, 454

1. What is the GCD of 658, 760, 79, 914?

GCD of 658, 760, 79, 914 is 1

2. Where do I get the detailed procedure to find GCD of 658, 760, 79, 914?

You can find a detailed procedure to find GCD of 658, 760, 79, 914 on our page.

3. How to find GCD of 658, 760, 79, 914 on a calculator?

You can find the GCD of 658, 760, 79, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.