GCD of 682, 218, 938, 965 Calculator

Given Input numbers are 682, 218, 938, 965

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

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 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 682, 218, 938, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 218, 938, 965 is 1.

Therefore, GCD of numbers 682, 218, 938, 965 is 1

Given Input Data is 682, 218, 938, 965

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 218 is 2 x 109

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 965 is 5 x 193

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(682, 218) = 74338

GCD(682, 218) = ( 682 x 218 ) / 74338

GCD(682, 218) = 148676 / 74338

GCD(682, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 938

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

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

GCD(2, 938) = 1876 / 938

GCD(2, 938) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 965

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

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

GCD(2, 965) = 1930 / 1930

GCD(2, 965) = 1

GCD of 682, 218, 938, 965 is 1

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• GCD of 352, 586, 143, 514
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• GCD of 970, 774, 481, 119

1. What is the GCD of 682, 218, 938, 965?

GCD of 682, 218, 938, 965 is 1

2. Where do I get the detailed procedure to find GCD of 682, 218, 938, 965?

You can find a detailed procedure to find GCD of 682, 218, 938, 965 on our page.

3. How to find GCD of 682, 218, 938, 965 on a calculator?

You can find the GCD of 682, 218, 938, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.