GCD of 926, 868, 49, 301 Calculator

Given Input numbers are 926, 868, 49, 301

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

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 926, 868, 49, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 926, 868, 49, 301 is 1.

Therefore, GCD of numbers 926, 868, 49, 301 is 1

Given Input Data is 926, 868, 49, 301

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

Prime Factorization of 926 is 2 x 463

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 49 is 7 x 7

Prime Factorization of 301 is 7 x 43

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(926, 868) = 401884

GCD(926, 868) = ( 926 x 868 ) / 401884

GCD(926, 868) = 803768 / 401884

GCD(926, 868) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 926, 868, 49, 301 is 1

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1. What is the GCD of 926, 868, 49, 301?

GCD of 926, 868, 49, 301 is 1

2. Where do I get the detailed procedure to find GCD of 926, 868, 49, 301?

You can find a detailed procedure to find GCD of 926, 868, 49, 301 on our page.

3. How to find GCD of 926, 868, 49, 301 on a calculator?

You can find the GCD of 926, 868, 49, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.