GCD of 760, 394, 54, 991 Calculator

Given Input numbers are 760, 394, 54, 991

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 760, 394, 54, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 394, 54, 991 is 1.

Therefore, GCD of numbers 760, 394, 54, 991 is 1

Given Input Data is 760, 394, 54, 991

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 394 is 2 x 197

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 991 is 991

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(760, 394) = 149720

GCD(760, 394) = ( 760 x 394 ) / 149720

GCD(760, 394) = 299440 / 149720

GCD(760, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 991

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

LCM(2, 991) = 1982

GCD(2, 991) = ( 2 x 991 ) / 1982

GCD(2, 991) = 1982 / 1982

GCD(2, 991) = 1

GCD of 760, 394, 54, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 583, 65, 972
• GCD of 127, 900, 66, 938
• GCD of 599, 712, 65, 740
• GCD of 945, 641, 26, 781
• GCD of 475, 774, 27, 716

1. What is the GCD of 760, 394, 54, 991?

GCD of 760, 394, 54, 991 is 1

2. Where do I get the detailed procedure to find GCD of 760, 394, 54, 991?

You can find a detailed procedure to find GCD of 760, 394, 54, 991 on our page.

3. How to find GCD of 760, 394, 54, 991 on a calculator?

You can find the GCD of 760, 394, 54, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.