GCD of 689, 982, 938, 732 Calculator

Given Input numbers are 689, 982, 938, 732

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 689, 982, 938, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 982, 938, 732 is 1.

Therefore, GCD of numbers 689, 982, 938, 732 is 1

Given Input Data is 689, 982, 938, 732

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 982 is 2 x 491

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 732 is 2 x 2 x 3 x 61

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(689, 982) = 676598

GCD(689, 982) = ( 689 x 982 ) / 676598

GCD(689, 982) = 676598 / 676598

GCD(689, 982) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

GCD of 689, 982, 938, 732 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 689, 982, 938, 732?

GCD of 689, 982, 938, 732 is 1

2. Where do I get the detailed procedure to find GCD of 689, 982, 938, 732?

You can find a detailed procedure to find GCD of 689, 982, 938, 732 on our page.

3. How to find GCD of 689, 982, 938, 732 on a calculator?

You can find the GCD of 689, 982, 938, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.