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 136, 749, 11, 472 i.e. 1 largest integer that divides all the numbers equally.
GCD of 136, 749, 11, 472 is 1
GCD(136, 749, 11, 472) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 136, 749, 11, 472 is 1
GCD(136, 749, 11, 472) = 1
Given Input numbers are 136, 749, 11, 472
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 136, 749, 11, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 749, 11, 472 is 1.
Therefore, GCD of numbers 136, 749, 11, 472 is 1
Given Input Data is 136, 749, 11, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 749 is 7 x 107
Prime Factorization of 11 is 11
Prime Factorization of 472 is 2 x 2 x 2 x 59
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(136, 749) = 101864
GCD(136, 749) = ( 136 x 749 ) / 101864
GCD(136, 749) = 101864 / 101864
GCD(136, 749) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
GCD of 136, 749, 11, 472 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 136, 749, 11, 472?
GCD of 136, 749, 11, 472 is 1
2. Where do I get the detailed procedure to find GCD of 136, 749, 11, 472?
You can find a detailed procedure to find GCD of 136, 749, 11, 472 on our page.
3. How to find GCD of 136, 749, 11, 472 on a calculator?
You can find the GCD of 136, 749, 11, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.