GCD of 278, 370, 91, 996 Calculator

Given Input numbers are 278, 370, 91, 996

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

Divisors of 278

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

1, 2, 139, 278

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 278, 370, 91, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 370, 91, 996 is 1.

Therefore, GCD of numbers 278, 370, 91, 996 is 1

Given Input Data is 278, 370, 91, 996

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 91 is 7 x 13

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(278, 370) = 51430

GCD(278, 370) = ( 278 x 370 ) / 51430

GCD(278, 370) = 102860 / 51430

GCD(278, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 278, 370, 91, 996 is 1

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1. What is the GCD of 278, 370, 91, 996?

GCD of 278, 370, 91, 996 is 1

2. Where do I get the detailed procedure to find GCD of 278, 370, 91, 996?

You can find a detailed procedure to find GCD of 278, 370, 91, 996 on our page.

3. How to find GCD of 278, 370, 91, 996 on a calculator?

You can find the GCD of 278, 370, 91, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.