GCD of 676, 742, 803, 954 Calculator

Given Input numbers are 676, 742, 803, 954

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 676, 742, 803, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 742, 803, 954 is 1.

Therefore, GCD of numbers 676, 742, 803, 954 is 1

Given Input Data is 676, 742, 803, 954

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 803 is 11 x 73

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(676, 742) = 250796

GCD(676, 742) = ( 676 x 742 ) / 250796

GCD(676, 742) = 501592 / 250796

GCD(676, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 803

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

LCM(2, 803) = 1606

GCD(2, 803) = ( 2 x 803 ) / 1606

GCD(2, 803) = 1606 / 1606

GCD(2, 803) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 676, 742, 803, 954 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 676, 742, 803, 954?

GCD of 676, 742, 803, 954 is 1

2. Where do I get the detailed procedure to find GCD of 676, 742, 803, 954?

You can find a detailed procedure to find GCD of 676, 742, 803, 954 on our page.

3. How to find GCD of 676, 742, 803, 954 on a calculator?

You can find the GCD of 676, 742, 803, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.