GCD of 278, 961, 865, 743 Calculator

Given Input numbers are 278, 961, 865, 743

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 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 278, 961, 865, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 961, 865, 743 is 1.

Therefore, GCD of numbers 278, 961, 865, 743 is 1

Given Input Data is 278, 961, 865, 743

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 961 is 31 x 31

Prime Factorization of 865 is 5 x 173

Prime Factorization of 743 is 743

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, 961) = 267158

GCD(278, 961) = ( 278 x 961 ) / 267158

GCD(278, 961) = 267158 / 267158

GCD(278, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 865

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

LCM(1, 865) = 865

GCD(1, 865) = ( 1 x 865 ) / 865

GCD(1, 865) = 865 / 865

GCD(1, 865) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 278, 961, 865, 743 is 1

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1. What is the GCD of 278, 961, 865, 743?

GCD of 278, 961, 865, 743 is 1

2. Where do I get the detailed procedure to find GCD of 278, 961, 865, 743?

You can find a detailed procedure to find GCD of 278, 961, 865, 743 on our page.

3. How to find GCD of 278, 961, 865, 743 on a calculator?

You can find the GCD of 278, 961, 865, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.