GCD of 991, 599, 77, 240 Calculator

Given Input numbers are 991, 599, 77, 240

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 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 77

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

1, 7, 11, 77

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 991, 599, 77, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 599, 77, 240 is 1.

Therefore, GCD of numbers 991, 599, 77, 240 is 1

Given Input Data is 991, 599, 77, 240

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

Prime Factorization of 991 is 991

Prime Factorization of 599 is 599

Prime Factorization of 77 is 7 x 11

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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, 599) = 593609

GCD(991, 599) = ( 991 x 599 ) / 593609

GCD(991, 599) = 593609 / 593609

GCD(991, 599) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 991, 599, 77, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 868, 82, 713
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• GCD of 219, 827, 45, 647
• GCD of 989, 492, 17, 833
• GCD of 846, 317, 78, 302

1. What is the GCD of 991, 599, 77, 240?

GCD of 991, 599, 77, 240 is 1

2. Where do I get the detailed procedure to find GCD of 991, 599, 77, 240?

You can find a detailed procedure to find GCD of 991, 599, 77, 240 on our page.

3. How to find GCD of 991, 599, 77, 240 on a calculator?

You can find the GCD of 991, 599, 77, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.