GCD of 175, 959, 321, 118 Calculator

Given Input numbers are 175, 959, 321, 118

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 175, 959, 321, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 959, 321, 118 is 1.

Therefore, GCD of numbers 175, 959, 321, 118 is 1

Given Input Data is 175, 959, 321, 118

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 959 is 7 x 137

Prime Factorization of 321 is 3 x 107

Prime Factorization of 118 is 2 x 59

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, 959) = 23975

GCD(175, 959) = ( 175 x 959 ) / 23975

GCD(175, 959) = 167825 / 23975

GCD(175, 959) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 321

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

LCM(7, 321) = 2247

GCD(7, 321) = ( 7 x 321 ) / 2247

GCD(7, 321) = 2247 / 2247

GCD(7, 321) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 175, 959, 321, 118 is 1

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1. What is the GCD of 175, 959, 321, 118?

GCD of 175, 959, 321, 118 is 1

2. Where do I get the detailed procedure to find GCD of 175, 959, 321, 118?

You can find a detailed procedure to find GCD of 175, 959, 321, 118 on our page.

3. How to find GCD of 175, 959, 321, 118 on a calculator?

You can find the GCD of 175, 959, 321, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.