GCD of 175, 661, 39, 308 Calculator

Given Input numbers are 175, 661, 39, 308

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

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 175, 661, 39, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 661, 39, 308 is 1.

Therefore, GCD of numbers 175, 661, 39, 308 is 1

Given Input Data is 175, 661, 39, 308

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 661 is 661

Prime Factorization of 39 is 3 x 13

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(175, 661) = 115675

GCD(175, 661) = ( 175 x 661 ) / 115675

GCD(175, 661) = 115675 / 115675

GCD(175, 661) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 175, 661, 39, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 724, 42, 914
• GCD of 739, 853, 79, 104
• GCD of 548, 325, 64, 686
• GCD of 791, 226, 18, 168
• GCD of 998, 607, 44, 487

1. What is the GCD of 175, 661, 39, 308?

GCD of 175, 661, 39, 308 is 1

2. Where do I get the detailed procedure to find GCD of 175, 661, 39, 308?

You can find a detailed procedure to find GCD of 175, 661, 39, 308 on our page.

3. How to find GCD of 175, 661, 39, 308 on a calculator?

You can find the GCD of 175, 661, 39, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.