GCD of 120, 878, 95, 257 Calculator

Given Input numbers are 120, 878, 95, 257

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

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

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 120, 878, 95, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 878, 95, 257 is 1.

Therefore, GCD of numbers 120, 878, 95, 257 is 1

Given Input Data is 120, 878, 95, 257

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

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 95 is 5 x 19

Prime Factorization of 257 is 257

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(120, 878) = 52680

GCD(120, 878) = ( 120 x 878 ) / 52680

GCD(120, 878) = 105360 / 52680

GCD(120, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 95

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

LCM(2, 95) = 190

GCD(2, 95) = ( 2 x 95 ) / 190

GCD(2, 95) = 190 / 190

GCD(2, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 120, 878, 95, 257 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 631, 54, 258
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• GCD of 191, 833, 11, 768
• GCD of 512, 425, 61, 134
• GCD of 482, 948, 83, 173

1. What is the GCD of 120, 878, 95, 257?

GCD of 120, 878, 95, 257 is 1

2. Where do I get the detailed procedure to find GCD of 120, 878, 95, 257?

You can find a detailed procedure to find GCD of 120, 878, 95, 257 on our page.

3. How to find GCD of 120, 878, 95, 257 on a calculator?

You can find the GCD of 120, 878, 95, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.