GCD of 214, 688, 88, 635 Calculator

Given Input numbers are 214, 688, 88, 635

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 214, 688, 88, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 688, 88, 635 is 1.

Therefore, GCD of numbers 214, 688, 88, 635 is 1

Given Input Data is 214, 688, 88, 635

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

Prime Factorization of 214 is 2 x 107

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 635 is 5 x 127

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(214, 688) = 73616

GCD(214, 688) = ( 214 x 688 ) / 73616

GCD(214, 688) = 147232 / 73616

GCD(214, 688) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 635

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

LCM(2, 635) = 1270

GCD(2, 635) = ( 2 x 635 ) / 1270

GCD(2, 635) = 1270 / 1270

GCD(2, 635) = 1

GCD of 214, 688, 88, 635 is 1

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1. What is the GCD of 214, 688, 88, 635?

GCD of 214, 688, 88, 635 is 1

2. Where do I get the detailed procedure to find GCD of 214, 688, 88, 635?

You can find a detailed procedure to find GCD of 214, 688, 88, 635 on our page.

3. How to find GCD of 214, 688, 88, 635 on a calculator?

You can find the GCD of 214, 688, 88, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.