Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 736, 353, 774, 672 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 353, 774, 672 is 1
GCD(736, 353, 774, 672) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 353, 774, 672 is 1
GCD(736, 353, 774, 672) = 1
Given Input numbers are 736, 353, 774, 672
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Greatest Common Divisior
We found the divisors of 736, 353, 774, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 353, 774, 672 is 1.
Therefore, GCD of numbers 736, 353, 774, 672 is 1
Given Input Data is 736, 353, 774, 672
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 353 is 353
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
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(736, 353) = 259808
GCD(736, 353) = ( 736 x 353 ) / 259808
GCD(736, 353) = 259808 / 259808
GCD(736, 353) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 774) = 774
GCD(1, 774) = ( 1 x 774 ) / 774
GCD(1, 774) = 774 / 774
GCD(1, 774) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 672
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
GCD(1, 672) = 672 / 672
GCD(1, 672) = 1
GCD of 736, 353, 774, 672 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 353, 774, 672?
GCD of 736, 353, 774, 672 is 1
2. Where do I get the detailed procedure to find GCD of 736, 353, 774, 672?
You can find a detailed procedure to find GCD of 736, 353, 774, 672 on our page.
3. How to find GCD of 736, 353, 774, 672 on a calculator?
You can find the GCD of 736, 353, 774, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.