GCD of 686, 938, 85, 766 Calculator

Given Input numbers are 686, 938, 85, 766

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 686, 938, 85, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 938, 85, 766 is 1.

Therefore, GCD of numbers 686, 938, 85, 766 is 1

Given Input Data is 686, 938, 85, 766

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 85 is 5 x 17

Prime Factorization of 766 is 2 x 383

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(686, 938) = 45962

GCD(686, 938) = ( 686 x 938 ) / 45962

GCD(686, 938) = 643468 / 45962

GCD(686, 938) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 85

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

LCM(14, 85) = 1190

GCD(14, 85) = ( 14 x 85 ) / 1190

GCD(14, 85) = 1190 / 1190

GCD(14, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 686, 938, 85, 766 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 321, 61, 831
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• GCD of 179, 608, 20, 502

1. What is the GCD of 686, 938, 85, 766?

GCD of 686, 938, 85, 766 is 1

2. Where do I get the detailed procedure to find GCD of 686, 938, 85, 766?

You can find a detailed procedure to find GCD of 686, 938, 85, 766 on our page.

3. How to find GCD of 686, 938, 85, 766 on a calculator?

You can find the GCD of 686, 938, 85, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.