GCD of 43, 104, 362, 979 Calculator

Given Input numbers are 43, 104, 362, 979

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 43, 104, 362, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 104, 362, 979 is 1.

Therefore, GCD of numbers 43, 104, 362, 979 is 1

Given Input Data is 43, 104, 362, 979

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

Prime Factorization of 43 is 43

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 362 is 2 x 181

Prime Factorization of 979 is 11 x 89

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(43, 104) = 4472

GCD(43, 104) = ( 43 x 104 ) / 4472

GCD(43, 104) = 4472 / 4472

GCD(43, 104) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 43, 104, 362, 979 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 227, 428, 738
• GCD of 80, 151, 611, 455
• GCD of 10, 449, 706, 767
• GCD of 94, 418, 694, 810
• GCD of 68, 533, 570, 760

1. What is the GCD of 43, 104, 362, 979?

GCD of 43, 104, 362, 979 is 1

2. Where do I get the detailed procedure to find GCD of 43, 104, 362, 979?

You can find a detailed procedure to find GCD of 43, 104, 362, 979 on our page.

3. How to find GCD of 43, 104, 362, 979 on a calculator?

You can find the GCD of 43, 104, 362, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.