GCD of 991, 740, 45, 509 Calculator

Given Input numbers are 991, 740, 45, 509

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 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 991, 740, 45, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 740, 45, 509 is 1.

Therefore, GCD of numbers 991, 740, 45, 509 is 1

Given Input Data is 991, 740, 45, 509

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

Prime Factorization of 991 is 991

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 509 is 509

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, 740) = 733340

GCD(991, 740) = ( 991 x 740 ) / 733340

GCD(991, 740) = 733340 / 733340

GCD(991, 740) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 991, 740, 45, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 833, 89, 420
• GCD of 575, 373, 74, 992
• GCD of 469, 308, 80, 197
• GCD of 217, 362, 90, 862
• GCD of 336, 358, 14, 868

1. What is the GCD of 991, 740, 45, 509?

GCD of 991, 740, 45, 509 is 1

2. Where do I get the detailed procedure to find GCD of 991, 740, 45, 509?

You can find a detailed procedure to find GCD of 991, 740, 45, 509 on our page.

3. How to find GCD of 991, 740, 45, 509 on a calculator?

You can find the GCD of 991, 740, 45, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.