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 757, 872, 654, 184 i.e. 1 largest integer that divides all the numbers equally.
GCD of 757, 872, 654, 184 is 1
GCD(757, 872, 654, 184) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 757, 872, 654, 184 is 1
GCD(757, 872, 654, 184) = 1
Given Input numbers are 757, 872, 654, 184
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Greatest Common Divisior
We found the divisors of 757, 872, 654, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 872, 654, 184 is 1.
Therefore, GCD of numbers 757, 872, 654, 184 is 1
Given Input Data is 757, 872, 654, 184
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 757 is 757
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 184 is 2 x 2 x 2 x 23
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(757, 872) = 660104
GCD(757, 872) = ( 757 x 872 ) / 660104
GCD(757, 872) = 660104 / 660104
GCD(757, 872) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 654) = 654
GCD(1, 654) = ( 1 x 654 ) / 654
GCD(1, 654) = 654 / 654
GCD(1, 654) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 184) = 184
GCD(1, 184) = ( 1 x 184 ) / 184
GCD(1, 184) = 184 / 184
GCD(1, 184) = 1
GCD of 757, 872, 654, 184 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 757, 872, 654, 184?
GCD of 757, 872, 654, 184 is 1
2. Where do I get the detailed procedure to find GCD of 757, 872, 654, 184?
You can find a detailed procedure to find GCD of 757, 872, 654, 184 on our page.
3. How to find GCD of 757, 872, 654, 184 on a calculator?
You can find the GCD of 757, 872, 654, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.