GCD of 741, 657, 51, 983 Calculator

Given Input numbers are 741, 657, 51, 983

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

Divisors of 741

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

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 741, 657, 51, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 657, 51, 983 is 1.

Therefore, GCD of numbers 741, 657, 51, 983 is 1

Given Input Data is 741, 657, 51, 983

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 51 is 3 x 17

Prime Factorization of 983 is 983

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(741, 657) = 162279

GCD(741, 657) = ( 741 x 657 ) / 162279

GCD(741, 657) = 486837 / 162279

GCD(741, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 983

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

LCM(3, 983) = 2949

GCD(3, 983) = ( 3 x 983 ) / 2949

GCD(3, 983) = 2949 / 2949

GCD(3, 983) = 1

GCD of 741, 657, 51, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 185, 35, 587
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• GCD of 820, 128, 97, 476
• GCD of 500, 469, 89, 537
• GCD of 717, 348, 29, 476

1. What is the GCD of 741, 657, 51, 983?

GCD of 741, 657, 51, 983 is 1

2. Where do I get the detailed procedure to find GCD of 741, 657, 51, 983?

You can find a detailed procedure to find GCD of 741, 657, 51, 983 on our page.

3. How to find GCD of 741, 657, 51, 983 on a calculator?

You can find the GCD of 741, 657, 51, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.