GCD of 994, 760, 749, 550 Calculator

Given Input numbers are 994, 760, 749, 550

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 994, 760, 749, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 760, 749, 550 is 1.

Therefore, GCD of numbers 994, 760, 749, 550 is 1

Given Input Data is 994, 760, 749, 550

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 749 is 7 x 107

Prime Factorization of 550 is 2 x 5 x 5 x 11

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(994, 760) = 377720

GCD(994, 760) = ( 994 x 760 ) / 377720

GCD(994, 760) = 755440 / 377720

GCD(994, 760) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 994, 760, 749, 550 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 864, 751, 143
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• GCD of 715, 911, 304, 333
• GCD of 493, 497, 358, 901

1. What is the GCD of 994, 760, 749, 550?

GCD of 994, 760, 749, 550 is 1

2. Where do I get the detailed procedure to find GCD of 994, 760, 749, 550?

You can find a detailed procedure to find GCD of 994, 760, 749, 550 on our page.

3. How to find GCD of 994, 760, 749, 550 on a calculator?

You can find the GCD of 994, 760, 749, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.