GCD of 738, 769, 25, 992 Calculator

Given Input numbers are 738, 769, 25, 992

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 769

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

1, 769

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 738, 769, 25, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 769, 25, 992 is 1.

Therefore, GCD of numbers 738, 769, 25, 992 is 1

Given Input Data is 738, 769, 25, 992

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 769 is 769

Prime Factorization of 25 is 5 x 5

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(738, 769) = 567522

GCD(738, 769) = ( 738 x 769 ) / 567522

GCD(738, 769) = 567522 / 567522

GCD(738, 769) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 738, 769, 25, 992 is 1

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• GCD of 309, 176, 17, 282
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• GCD of 146, 771, 52, 981

1. What is the GCD of 738, 769, 25, 992?

GCD of 738, 769, 25, 992 is 1

2. Where do I get the detailed procedure to find GCD of 738, 769, 25, 992?

You can find a detailed procedure to find GCD of 738, 769, 25, 992 on our page.

3. How to find GCD of 738, 769, 25, 992 on a calculator?

You can find the GCD of 738, 769, 25, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.