GCD of 292, 313, 938, 947 Calculator

Given Input numbers are 292, 313, 938, 947

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 292, 313, 938, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 313, 938, 947 is 1.

Therefore, GCD of numbers 292, 313, 938, 947 is 1

Given Input Data is 292, 313, 938, 947

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 313 is 313

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 947 is 947

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(292, 313) = 91396

GCD(292, 313) = ( 292 x 313 ) / 91396

GCD(292, 313) = 91396 / 91396

GCD(292, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

GCD of 292, 313, 938, 947 is 1

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1. What is the GCD of 292, 313, 938, 947?

GCD of 292, 313, 938, 947 is 1

2. Where do I get the detailed procedure to find GCD of 292, 313, 938, 947?

You can find a detailed procedure to find GCD of 292, 313, 938, 947 on our page.

3. How to find GCD of 292, 313, 938, 947 on a calculator?

You can find the GCD of 292, 313, 938, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.