GCD of 312, 955, 988, 278 Calculator

Given Input numbers are 312, 955, 988, 278

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 312, 955, 988, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 955, 988, 278 is 1.

Therefore, GCD of numbers 312, 955, 988, 278 is 1

Given Input Data is 312, 955, 988, 278

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 955 is 5 x 191

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 278 is 2 x 139

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(312, 955) = 297960

GCD(312, 955) = ( 312 x 955 ) / 297960

GCD(312, 955) = 297960 / 297960

GCD(312, 955) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 312, 955, 988, 278 is 1

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1. What is the GCD of 312, 955, 988, 278?

GCD of 312, 955, 988, 278 is 1

2. Where do I get the detailed procedure to find GCD of 312, 955, 988, 278?

You can find a detailed procedure to find GCD of 312, 955, 988, 278 on our page.

3. How to find GCD of 312, 955, 988, 278 on a calculator?

You can find the GCD of 312, 955, 988, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.