GCD of 268, 501, 541, 703 Calculator

Given Input numbers are 268, 501, 541, 703

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 268, 501, 541, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 501, 541, 703 is 1.

Therefore, GCD of numbers 268, 501, 541, 703 is 1

Given Input Data is 268, 501, 541, 703

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 501 is 3 x 167

Prime Factorization of 541 is 541

Prime Factorization of 703 is 19 x 37

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(268, 501) = 134268

GCD(268, 501) = ( 268 x 501 ) / 134268

GCD(268, 501) = 134268 / 134268

GCD(268, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 541

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

LCM(1, 541) = 541

GCD(1, 541) = ( 1 x 541 ) / 541

GCD(1, 541) = 541 / 541

GCD(1, 541) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 268, 501, 541, 703 is 1

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1. What is the GCD of 268, 501, 541, 703?

GCD of 268, 501, 541, 703 is 1

2. Where do I get the detailed procedure to find GCD of 268, 501, 541, 703?

You can find a detailed procedure to find GCD of 268, 501, 541, 703 on our page.

3. How to find GCD of 268, 501, 541, 703 on a calculator?

You can find the GCD of 268, 501, 541, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.