GCD of 35, 688, 332, 213 Calculator

Given Input numbers are 35, 688, 332, 213

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 35, 688, 332, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 688, 332, 213 is 1.

Therefore, GCD of numbers 35, 688, 332, 213 is 1

Given Input Data is 35, 688, 332, 213

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

Prime Factorization of 35 is 5 x 7

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

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 213 is 3 x 71

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(35, 688) = 24080

GCD(35, 688) = ( 35 x 688 ) / 24080

GCD(35, 688) = 24080 / 24080

GCD(35, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 35, 688, 332, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 815, 266, 577
• GCD of 79, 548, 450, 712
• GCD of 37, 635, 645, 511
• GCD of 38, 207, 225, 661
• GCD of 35, 222, 449, 304

1. What is the GCD of 35, 688, 332, 213?

GCD of 35, 688, 332, 213 is 1

2. Where do I get the detailed procedure to find GCD of 35, 688, 332, 213?

You can find a detailed procedure to find GCD of 35, 688, 332, 213 on our page.

3. How to find GCD of 35, 688, 332, 213 on a calculator?

You can find the GCD of 35, 688, 332, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.