GCD of 693, 616, 979 Calculator

Given Input numbers are 693, 616, 979

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 693, 616, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 616, 979 is 11.

Therefore, GCD of numbers 693, 616, 979 is 11

Given Input Data is 693, 616, 979

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 979 is 11 x 89

Highest common occurrences in the given inputs are 11¹

Multiplying them we get the GCD as 11

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(693, 616) = 5544

GCD(693, 616) = ( 693 x 616 ) / 5544

GCD(693, 616) = 426888 / 5544

GCD(693, 616) = 77

Step2:

Here we consider the GCD from the above i.e. 77 as first number and the next as 979

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

LCM(77, 979) = 6853

GCD(77, 979) = ( 77 x 979 ) / 6853

GCD(77, 979) = 75383 / 6853

GCD(77, 979) = 11

GCD of 693, 616, 979 is 11

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1. What is the GCD of 693, 616, 979?

GCD of 693, 616, 979 is 11

2. Where do I get the detailed procedure to find GCD of 693, 616, 979?

You can find a detailed procedure to find GCD of 693, 616, 979 on our page.

3. How to find GCD of 693, 616, 979 on a calculator?

You can find the GCD of 693, 616, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.