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 460, 752, 167, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 460, 752, 167, 536 is 1
GCD(460, 752, 167, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 460, 752, 167, 536 is 1
GCD(460, 752, 167, 536) = 1
Given Input numbers are 460, 752, 167, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 460, 752, 167, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 752, 167, 536 is 1.
Therefore, GCD of numbers 460, 752, 167, 536 is 1
Given Input Data is 460, 752, 167, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 167 is 167
Prime Factorization of 536 is 2 x 2 x 2 x 67
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(460, 752) = 86480
GCD(460, 752) = ( 460 x 752 ) / 86480
GCD(460, 752) = 345920 / 86480
GCD(460, 752) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 167) = 668
GCD(4, 167) = ( 4 x 167 ) / 668
GCD(4, 167) = 668 / 668
GCD(4, 167) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
GCD(1, 536) = 536 / 536
GCD(1, 536) = 1
GCD of 460, 752, 167, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 460, 752, 167, 536?
GCD of 460, 752, 167, 536 is 1
2. Where do I get the detailed procedure to find GCD of 460, 752, 167, 536?
You can find a detailed procedure to find GCD of 460, 752, 167, 536 on our page.
3. How to find GCD of 460, 752, 167, 536 on a calculator?
You can find the GCD of 460, 752, 167, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.