GCD of 352, 688, 65, 699 Calculator

Given Input numbers are 352, 688, 65, 699

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 352, 688, 65, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 688, 65, 699 is 1.

Therefore, GCD of numbers 352, 688, 65, 699 is 1

Given Input Data is 352, 688, 65, 699

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 699 is 3 x 233

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(352, 688) = 15136

GCD(352, 688) = ( 352 x 688 ) / 15136

GCD(352, 688) = 242176 / 15136

GCD(352, 688) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 65

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

LCM(16, 65) = 1040

GCD(16, 65) = ( 16 x 65 ) / 1040

GCD(16, 65) = 1040 / 1040

GCD(16, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 352, 688, 65, 699 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 111, 85, 475
• GCD of 569, 848, 88, 149
• GCD of 198, 471, 61, 963
• GCD of 721, 809, 84, 442
• GCD of 338, 234, 11, 215

1. What is the GCD of 352, 688, 65, 699?

GCD of 352, 688, 65, 699 is 1

2. Where do I get the detailed procedure to find GCD of 352, 688, 65, 699?

You can find a detailed procedure to find GCD of 352, 688, 65, 699 on our page.

3. How to find GCD of 352, 688, 65, 699 on a calculator?

You can find the GCD of 352, 688, 65, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.