GCD of 16, 268, 658, 701 Calculator

Given Input numbers are 16, 268, 658, 701

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Greatest Common Divisior

We found the divisors of 16, 268, 658, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 268, 658, 701 is 1.

Therefore, GCD of numbers 16, 268, 658, 701 is 1

Given Input Data is 16, 268, 658, 701

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 701 is 701

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(16, 268) = 1072

GCD(16, 268) = ( 16 x 268 ) / 1072

GCD(16, 268) = 4288 / 1072

GCD(16, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 658

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

LCM(4, 658) = 1316

GCD(4, 658) = ( 4 x 658 ) / 1316

GCD(4, 658) = 2632 / 1316

GCD(4, 658) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 701

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

LCM(2, 701) = 1402

GCD(2, 701) = ( 2 x 701 ) / 1402

GCD(2, 701) = 1402 / 1402

GCD(2, 701) = 1

GCD of 16, 268, 658, 701 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 916, 491, 949
• GCD of 17, 216, 638, 717
• GCD of 53, 458, 392, 423
• GCD of 12, 826, 674, 739
• GCD of 33, 107, 763, 399

1. What is the GCD of 16, 268, 658, 701?

GCD of 16, 268, 658, 701 is 1

2. Where do I get the detailed procedure to find GCD of 16, 268, 658, 701?

You can find a detailed procedure to find GCD of 16, 268, 658, 701 on our page.

3. How to find GCD of 16, 268, 658, 701 on a calculator?

You can find the GCD of 16, 268, 658, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.