GCD of 688, 117, 947, 777 Calculator

Given Input numbers are 688, 117, 947, 777

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Greatest Common Divisior

We found the divisors of 688, 117, 947, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 117, 947, 777 is 1.

Therefore, GCD of numbers 688, 117, 947, 777 is 1

Given Input Data is 688, 117, 947, 777

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 947 is 947

Prime Factorization of 777 is 3 x 7 x 37

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(688, 117) = 80496

GCD(688, 117) = ( 688 x 117 ) / 80496

GCD(688, 117) = 80496 / 80496

GCD(688, 117) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 777

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

LCM(1, 777) = 777

GCD(1, 777) = ( 1 x 777 ) / 777

GCD(1, 777) = 777 / 777

GCD(1, 777) = 1

GCD of 688, 117, 947, 777 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 320, 740, 839
• GCD of 800, 673, 436, 445
• GCD of 487, 963, 964, 604
• GCD of 206, 981, 778, 285
• GCD of 643, 337, 337, 444

1. What is the GCD of 688, 117, 947, 777?

GCD of 688, 117, 947, 777 is 1

2. Where do I get the detailed procedure to find GCD of 688, 117, 947, 777?

You can find a detailed procedure to find GCD of 688, 117, 947, 777 on our page.

3. How to find GCD of 688, 117, 947, 777 on a calculator?

You can find the GCD of 688, 117, 947, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.