GCD of 991, 106, 478, 767 Calculator

Given Input numbers are 991, 106, 478, 767

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

Divisors of 991

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

1, 991

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 991, 106, 478, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 106, 478, 767 is 1.

Therefore, GCD of numbers 991, 106, 478, 767 is 1

Given Input Data is 991, 106, 478, 767

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

Prime Factorization of 991 is 991

Prime Factorization of 106 is 2 x 53

Prime Factorization of 478 is 2 x 239

Prime Factorization of 767 is 13 x 59

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(991, 106) = 105046

GCD(991, 106) = ( 991 x 106 ) / 105046

GCD(991, 106) = 105046 / 105046

GCD(991, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

GCD of 991, 106, 478, 767 is 1

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1. What is the GCD of 991, 106, 478, 767?

GCD of 991, 106, 478, 767 is 1

2. Where do I get the detailed procedure to find GCD of 991, 106, 478, 767?

You can find a detailed procedure to find GCD of 991, 106, 478, 767 on our page.

3. How to find GCD of 991, 106, 478, 767 on a calculator?

You can find the GCD of 991, 106, 478, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.