GCD of 991, 201, 74, 769 Calculator

Given Input numbers are 991, 201, 74, 769

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 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 991, 201, 74, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 201, 74, 769 is 1.

Therefore, GCD of numbers 991, 201, 74, 769 is 1

Given Input Data is 991, 201, 74, 769

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

Prime Factorization of 991 is 991

Prime Factorization of 201 is 3 x 67

Prime Factorization of 74 is 2 x 37

Prime Factorization of 769 is 769

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, 201) = 199191

GCD(991, 201) = ( 991 x 201 ) / 199191

GCD(991, 201) = 199191 / 199191

GCD(991, 201) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 991, 201, 74, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 684, 85, 349
• GCD of 105, 752, 11, 959
• GCD of 573, 152, 27, 604
• GCD of 109, 274, 66, 263
• GCD of 200, 132, 49, 664

1. What is the GCD of 991, 201, 74, 769?

GCD of 991, 201, 74, 769 is 1

2. Where do I get the detailed procedure to find GCD of 991, 201, 74, 769?

You can find a detailed procedure to find GCD of 991, 201, 74, 769 on our page.

3. How to find GCD of 991, 201, 74, 769 on a calculator?

You can find the GCD of 991, 201, 74, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.