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 153, 352, 691, 864 i.e. 1 largest integer that divides all the numbers equally.
GCD of 153, 352, 691, 864 is 1
GCD(153, 352, 691, 864) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 153, 352, 691, 864 is 1
GCD(153, 352, 691, 864) = 1
Given Input numbers are 153, 352, 691, 864
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Greatest Common Divisior
We found the divisors of 153, 352, 691, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 352, 691, 864 is 1.
Therefore, GCD of numbers 153, 352, 691, 864 is 1
Given Input Data is 153, 352, 691, 864
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 691 is 691
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
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(153, 352) = 53856
GCD(153, 352) = ( 153 x 352 ) / 53856
GCD(153, 352) = 53856 / 53856
GCD(153, 352) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
GCD(1, 691) = 691 / 691
GCD(1, 691) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
GCD(1, 864) = 864 / 864
GCD(1, 864) = 1
GCD of 153, 352, 691, 864 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 153, 352, 691, 864?
GCD of 153, 352, 691, 864 is 1
2. Where do I get the detailed procedure to find GCD of 153, 352, 691, 864?
You can find a detailed procedure to find GCD of 153, 352, 691, 864 on our page.
3. How to find GCD of 153, 352, 691, 864 on a calculator?
You can find the GCD of 153, 352, 691, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.