GCD of 14, 541, 253, 688 Calculator

Given Input numbers are 14, 541, 253, 688

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 541

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

1, 541

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 14, 541, 253, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 541, 253, 688 is 1.

Therefore, GCD of numbers 14, 541, 253, 688 is 1

Given Input Data is 14, 541, 253, 688

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 541 is 541

Prime Factorization of 253 is 11 x 23

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(14, 541) = 7574

GCD(14, 541) = ( 14 x 541 ) / 7574

GCD(14, 541) = 7574 / 7574

GCD(14, 541) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 14, 541, 253, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 898, 374, 156
• GCD of 27, 248, 218, 197
• GCD of 20, 756, 867, 227
• GCD of 93, 353, 441, 145
• GCD of 74, 382, 971, 250

1. What is the GCD of 14, 541, 253, 688?

GCD of 14, 541, 253, 688 is 1

2. Where do I get the detailed procedure to find GCD of 14, 541, 253, 688?

You can find a detailed procedure to find GCD of 14, 541, 253, 688 on our page.

3. How to find GCD of 14, 541, 253, 688 on a calculator?

You can find the GCD of 14, 541, 253, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.