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, 684, 45, 139 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 684, 45, 139 is 1
GCD(752, 684, 45, 139) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 684, 45, 139 is 1
GCD(752, 684, 45, 139) = 1
Given Input numbers are 752, 684, 45, 139
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 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Greatest Common Divisior
We found the divisors of 752, 684, 45, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 684, 45, 139 is 1.
Therefore, GCD of numbers 752, 684, 45, 139 is 1
Given Input Data is 752, 684, 45, 139
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 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 139 is 139
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, 684) = 128592
GCD(752, 684) = ( 752 x 684 ) / 128592
GCD(752, 684) = 514368 / 128592
GCD(752, 684) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 45) = 180
GCD(4, 45) = ( 4 x 45 ) / 180
GCD(4, 45) = 180 / 180
GCD(4, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 139
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 139) = 139
GCD(1, 139) = ( 1 x 139 ) / 139
GCD(1, 139) = 139 / 139
GCD(1, 139) = 1
GCD of 752, 684, 45, 139 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 684, 45, 139?
GCD of 752, 684, 45, 139 is 1
2. Where do I get the detailed procedure to find GCD of 752, 684, 45, 139?
You can find a detailed procedure to find GCD of 752, 684, 45, 139 on our page.
3. How to find GCD of 752, 684, 45, 139 on a calculator?
You can find the GCD of 752, 684, 45, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.