GCD of 749, 379, 99, 782 Calculator

Given Input numbers are 749, 379, 99, 782

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

Divisors of 749

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

1, 7, 107, 749

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 749, 379, 99, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 379, 99, 782 is 1.

Therefore, GCD of numbers 749, 379, 99, 782 is 1

Given Input Data is 749, 379, 99, 782

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 379 is 379

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 782 is 2 x 17 x 23

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(749, 379) = 283871

GCD(749, 379) = ( 749 x 379 ) / 283871

GCD(749, 379) = 283871 / 283871

GCD(749, 379) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 749, 379, 99, 782 is 1

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1. What is the GCD of 749, 379, 99, 782?

GCD of 749, 379, 99, 782 is 1

2. Where do I get the detailed procedure to find GCD of 749, 379, 99, 782?

You can find a detailed procedure to find GCD of 749, 379, 99, 782 on our page.

3. How to find GCD of 749, 379, 99, 782 on a calculator?

You can find the GCD of 749, 379, 99, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.