GCD of 78, 946, 699, 598 Calculator

Given Input numbers are 78, 946, 699, 598

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 78, 946, 699, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 946, 699, 598 is 1.

Therefore, GCD of numbers 78, 946, 699, 598 is 1

Given Input Data is 78, 946, 699, 598

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 699 is 3 x 233

Prime Factorization of 598 is 2 x 13 x 23

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(78, 946) = 36894

GCD(78, 946) = ( 78 x 946 ) / 36894

GCD(78, 946) = 73788 / 36894

GCD(78, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 699

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

LCM(2, 699) = 1398

GCD(2, 699) = ( 2 x 699 ) / 1398

GCD(2, 699) = 1398 / 1398

GCD(2, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 78, 946, 699, 598 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 684, 140, 732
• GCD of 22, 805, 471, 405
• GCD of 69, 128, 130, 753
• GCD of 24, 789, 429, 958
• GCD of 23, 750, 542, 584

1. What is the GCD of 78, 946, 699, 598?

GCD of 78, 946, 699, 598 is 1

2. Where do I get the detailed procedure to find GCD of 78, 946, 699, 598?

You can find a detailed procedure to find GCD of 78, 946, 699, 598 on our page.

3. How to find GCD of 78, 946, 699, 598 on a calculator?

You can find the GCD of 78, 946, 699, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.