GCD of 686, 972, 741 Calculator

Given Input numbers are 686, 972, 741

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 686, 972, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 972, 741 is 1.

Therefore, GCD of numbers 686, 972, 741 is 1

Given Input Data is 686, 972, 741

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 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 741 is 3 x 13 x 19

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, 972) = 333396

GCD(686, 972) = ( 686 x 972 ) / 333396

GCD(686, 972) = 666792 / 333396

GCD(686, 972) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 741

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

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

GCD(2, 741) = 1482 / 1482

GCD(2, 741) = 1

GCD of 686, 972, 741 is 1

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1. What is the GCD of 686, 972, 741?

GCD of 686, 972, 741 is 1

2. Where do I get the detailed procedure to find GCD of 686, 972, 741?

You can find a detailed procedure to find GCD of 686, 972, 741 on our page.

3. How to find GCD of 686, 972, 741 on a calculator?

You can find the GCD of 686, 972, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.