GCD of 170, 608, 14, 737 Calculator

Given Input numbers are 170, 608, 14, 737

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 170, 608, 14, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 608, 14, 737 is 1.

Therefore, GCD of numbers 170, 608, 14, 737 is 1

Given Input Data is 170, 608, 14, 737

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 14 is 2 x 7

Prime Factorization of 737 is 11 x 67

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(170, 608) = 51680

GCD(170, 608) = ( 170 x 608 ) / 51680

GCD(170, 608) = 103360 / 51680

GCD(170, 608) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 737

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

LCM(2, 737) = 1474

GCD(2, 737) = ( 2 x 737 ) / 1474

GCD(2, 737) = 1474 / 1474

GCD(2, 737) = 1

GCD of 170, 608, 14, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 319, 79, 373
• GCD of 238, 400, 80, 919
• GCD of 138, 769, 33, 532
• GCD of 504, 309, 50, 397
• GCD of 931, 985, 55, 429

1. What is the GCD of 170, 608, 14, 737?

GCD of 170, 608, 14, 737 is 1

2. Where do I get the detailed procedure to find GCD of 170, 608, 14, 737?

You can find a detailed procedure to find GCD of 170, 608, 14, 737 on our page.

3. How to find GCD of 170, 608, 14, 737 on a calculator?

You can find the GCD of 170, 608, 14, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.