GCD of 307, 161, 688, 748 Calculator

Given Input numbers are 307, 161, 688, 748

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 307, 161, 688, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 161, 688, 748 is 1.

Therefore, GCD of numbers 307, 161, 688, 748 is 1

Given Input Data is 307, 161, 688, 748

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

Prime Factorization of 307 is 307

Prime Factorization of 161 is 7 x 23

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(307, 161) = 49427

GCD(307, 161) = ( 307 x 161 ) / 49427

GCD(307, 161) = 49427 / 49427

GCD(307, 161) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 307, 161, 688, 748 is 1

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1. What is the GCD of 307, 161, 688, 748?

GCD of 307, 161, 688, 748 is 1

2. Where do I get the detailed procedure to find GCD of 307, 161, 688, 748?

You can find a detailed procedure to find GCD of 307, 161, 688, 748 on our page.

3. How to find GCD of 307, 161, 688, 748 on a calculator?

You can find the GCD of 307, 161, 688, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.