GCD of 101, 371, 484, 688 Calculator

Given Input numbers are 101, 371, 484, 688

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

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 101, 371, 484, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 371, 484, 688 is 1.

Therefore, GCD of numbers 101, 371, 484, 688 is 1

Given Input Data is 101, 371, 484, 688

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

Prime Factorization of 101 is 101

Prime Factorization of 371 is 7 x 53

Prime Factorization of 484 is 2 x 2 x 11 x 11

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(101, 371) = 37471

GCD(101, 371) = ( 101 x 371 ) / 37471

GCD(101, 371) = 37471 / 37471

GCD(101, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 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 101, 371, 484, 688 is 1

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1. What is the GCD of 101, 371, 484, 688?

GCD of 101, 371, 484, 688 is 1

2. Where do I get the detailed procedure to find GCD of 101, 371, 484, 688?

You can find a detailed procedure to find GCD of 101, 371, 484, 688 on our page.

3. How to find GCD of 101, 371, 484, 688 on a calculator?

You can find the GCD of 101, 371, 484, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.