GCD of 77, 991, 474, 975 Calculator

Given Input numbers are 77, 991, 474, 975

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 991

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

1, 991

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 77, 991, 474, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 991, 474, 975 is 1.

Therefore, GCD of numbers 77, 991, 474, 975 is 1

Given Input Data is 77, 991, 474, 975

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 991 is 991

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(77, 991) = 76307

GCD(77, 991) = ( 77 x 991 ) / 76307

GCD(77, 991) = 76307 / 76307

GCD(77, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 77, 991, 474, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 195, 677, 945
• GCD of 47, 134, 936, 317
• GCD of 74, 366, 189, 523
• GCD of 82, 114, 203, 929
• GCD of 79, 419, 857, 427

1. What is the GCD of 77, 991, 474, 975?

GCD of 77, 991, 474, 975 is 1

2. Where do I get the detailed procedure to find GCD of 77, 991, 474, 975?

You can find a detailed procedure to find GCD of 77, 991, 474, 975 on our page.

3. How to find GCD of 77, 991, 474, 975 on a calculator?

You can find the GCD of 77, 991, 474, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.