GCD of 978, 776, 699, 991 Calculator

Given Input numbers are 978, 776, 699, 991

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

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 978, 776, 699, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 776, 699, 991 is 1.

Therefore, GCD of numbers 978, 776, 699, 991 is 1

Given Input Data is 978, 776, 699, 991

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 699 is 3 x 233

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(978, 776) = 379464

GCD(978, 776) = ( 978 x 776 ) / 379464

GCD(978, 776) = 758928 / 379464

GCD(978, 776) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 699

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

LCM(2, 699) = 1398

GCD(2, 699) = ( 2 x 699 ) / 1398

GCD(2, 699) = 1398 / 1398

GCD(2, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 978, 776, 699, 991 is 1

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1. What is the GCD of 978, 776, 699, 991?

GCD of 978, 776, 699, 991 is 1

2. Where do I get the detailed procedure to find GCD of 978, 776, 699, 991?

You can find a detailed procedure to find GCD of 978, 776, 699, 991 on our page.

3. How to find GCD of 978, 776, 699, 991 on a calculator?

You can find the GCD of 978, 776, 699, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.