GCD of 45, 247, 721, 688 Calculator

Given Input numbers are 45, 247, 721, 688

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

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 45, 247, 721, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 247, 721, 688 is 1.

Therefore, GCD of numbers 45, 247, 721, 688 is 1

Given Input Data is 45, 247, 721, 688

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 247 is 13 x 19

Prime Factorization of 721 is 7 x 103

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(45, 247) = 11115

GCD(45, 247) = ( 45 x 247 ) / 11115

GCD(45, 247) = 11115 / 11115

GCD(45, 247) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 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 45, 247, 721, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 364, 437, 905
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• GCD of 71, 667, 236, 819
• GCD of 21, 760, 653, 700
• GCD of 38, 800, 760, 880

1. What is the GCD of 45, 247, 721, 688?

GCD of 45, 247, 721, 688 is 1

2. Where do I get the detailed procedure to find GCD of 45, 247, 721, 688?

You can find a detailed procedure to find GCD of 45, 247, 721, 688 on our page.

3. How to find GCD of 45, 247, 721, 688 on a calculator?

You can find the GCD of 45, 247, 721, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.