GCD of 876, 668, 649, 503 Calculator

Given Input numbers are 876, 668, 649, 503

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 876, 668, 649, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 668, 649, 503 is 1.

Therefore, GCD of numbers 876, 668, 649, 503 is 1

Given Input Data is 876, 668, 649, 503

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 649 is 11 x 59

Prime Factorization of 503 is 503

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(876, 668) = 146292

GCD(876, 668) = ( 876 x 668 ) / 146292

GCD(876, 668) = 585168 / 146292

GCD(876, 668) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 649

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

LCM(4, 649) = 2596

GCD(4, 649) = ( 4 x 649 ) / 2596

GCD(4, 649) = 2596 / 2596

GCD(4, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 503

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

LCM(1, 503) = 503

GCD(1, 503) = ( 1 x 503 ) / 503

GCD(1, 503) = 503 / 503

GCD(1, 503) = 1

GCD of 876, 668, 649, 503 is 1

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1. What is the GCD of 876, 668, 649, 503?

GCD of 876, 668, 649, 503 is 1

2. Where do I get the detailed procedure to find GCD of 876, 668, 649, 503?

You can find a detailed procedure to find GCD of 876, 668, 649, 503 on our page.

3. How to find GCD of 876, 668, 649, 503 on a calculator?

You can find the GCD of 876, 668, 649, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.