GCD of 271, 175, 78, 120 Calculator

Given Input numbers are 271, 175, 78, 120

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 175

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

1, 5, 7, 25, 35, 175

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 271, 175, 78, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 175, 78, 120 is 1.

Therefore, GCD of numbers 271, 175, 78, 120 is 1

Given Input Data is 271, 175, 78, 120

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

Prime Factorization of 271 is 271

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(271, 175) = 47425

GCD(271, 175) = ( 271 x 175 ) / 47425

GCD(271, 175) = 47425 / 47425

GCD(271, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 271, 175, 78, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 507, 43, 801
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• GCD of 284, 356, 55, 926
• GCD of 472, 649, 61, 268

1. What is the GCD of 271, 175, 78, 120?

GCD of 271, 175, 78, 120 is 1

2. Where do I get the detailed procedure to find GCD of 271, 175, 78, 120?

You can find a detailed procedure to find GCD of 271, 175, 78, 120 on our page.

3. How to find GCD of 271, 175, 78, 120 on a calculator?

You can find the GCD of 271, 175, 78, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.