GCD of 221, 507, 67, 694 Calculator

Given Input numbers are 221, 507, 67, 694

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 221, 507, 67, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 507, 67, 694 is 1.

Therefore, GCD of numbers 221, 507, 67, 694 is 1

Given Input Data is 221, 507, 67, 694

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 67 is 67

Prime Factorization of 694 is 2 x 347

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(221, 507) = 8619

GCD(221, 507) = ( 221 x 507 ) / 8619

GCD(221, 507) = 112047 / 8619

GCD(221, 507) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 67

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

LCM(13, 67) = 871

GCD(13, 67) = ( 13 x 67 ) / 871

GCD(13, 67) = 871 / 871

GCD(13, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 221, 507, 67, 694 is 1

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• GCD of 107, 201, 38, 786
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• GCD of 863, 830, 50, 369

1. What is the GCD of 221, 507, 67, 694?

GCD of 221, 507, 67, 694 is 1

2. Where do I get the detailed procedure to find GCD of 221, 507, 67, 694?

You can find a detailed procedure to find GCD of 221, 507, 67, 694 on our page.

3. How to find GCD of 221, 507, 67, 694 on a calculator?

You can find the GCD of 221, 507, 67, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.