GCD of 991, 705, 69, 908 Calculator

Given Input numbers are 991, 705, 69, 908

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 991, 705, 69, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 705, 69, 908 is 1.

Therefore, GCD of numbers 991, 705, 69, 908 is 1

Given Input Data is 991, 705, 69, 908

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

Prime Factorization of 991 is 991

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 69 is 3 x 23

Prime Factorization of 908 is 2 x 2 x 227

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, 705) = 698655

GCD(991, 705) = ( 991 x 705 ) / 698655

GCD(991, 705) = 698655 / 698655

GCD(991, 705) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 991, 705, 69, 908 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 108, 76, 790
• GCD of 462, 757, 72, 191
• GCD of 126, 181, 23, 702
• GCD of 162, 442, 67, 692
• GCD of 538, 313, 16, 881

1. What is the GCD of 991, 705, 69, 908?

GCD of 991, 705, 69, 908 is 1

2. Where do I get the detailed procedure to find GCD of 991, 705, 69, 908?

You can find a detailed procedure to find GCD of 991, 705, 69, 908 on our page.

3. How to find GCD of 991, 705, 69, 908 on a calculator?

You can find the GCD of 991, 705, 69, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.