GCD of 676, 531, 159, 700 Calculator

Given Input numbers are 676, 531, 159, 700

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 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 676, 531, 159, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 531, 159, 700 is 1.

Therefore, GCD of numbers 676, 531, 159, 700 is 1

Given Input Data is 676, 531, 159, 700

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 531 is 3 x 3 x 59

Prime Factorization of 159 is 3 x 53

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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, 531) = 358956

GCD(676, 531) = ( 676 x 531 ) / 358956

GCD(676, 531) = 358956 / 358956

GCD(676, 531) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 676, 531, 159, 700 is 1

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1. What is the GCD of 676, 531, 159, 700?

GCD of 676, 531, 159, 700 is 1

2. Where do I get the detailed procedure to find GCD of 676, 531, 159, 700?

You can find a detailed procedure to find GCD of 676, 531, 159, 700 on our page.

3. How to find GCD of 676, 531, 159, 700 on a calculator?

You can find the GCD of 676, 531, 159, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.