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 752, 462, 151, 334 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 462, 151, 334 is 1
GCD(752, 462, 151, 334) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 462, 151, 334 is 1
GCD(752, 462, 151, 334) = 1
Given Input numbers are 752, 462, 151, 334
To find the GCD of numbers using factoring list out all the divisors of each number
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 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Greatest Common Divisior
We found the divisors of 752, 462, 151, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 462, 151, 334 is 1.
Therefore, GCD of numbers 752, 462, 151, 334 is 1
Given Input Data is 752, 462, 151, 334
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 151 is 151
Prime Factorization of 334 is 2 x 167
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(752, 462) = 173712
GCD(752, 462) = ( 752 x 462 ) / 173712
GCD(752, 462) = 347424 / 173712
GCD(752, 462) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 151) = 302
GCD(2, 151) = ( 2 x 151 ) / 302
GCD(2, 151) = 302 / 302
GCD(2, 151) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
GCD(1, 334) = 334 / 334
GCD(1, 334) = 1
GCD of 752, 462, 151, 334 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 462, 151, 334?
GCD of 752, 462, 151, 334 is 1
2. Where do I get the detailed procedure to find GCD of 752, 462, 151, 334?
You can find a detailed procedure to find GCD of 752, 462, 151, 334 on our page.
3. How to find GCD of 752, 462, 151, 334 on a calculator?
You can find the GCD of 752, 462, 151, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.