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 650, 312, 43, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 650, 312, 43, 152 is 1
GCD(650, 312, 43, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 650, 312, 43, 152 is 1
GCD(650, 312, 43, 152) = 1
Given Input numbers are 650, 312, 43, 152
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 650, 312, 43, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 312, 43, 152 is 1.
Therefore, GCD of numbers 650, 312, 43, 152 is 1
Given Input Data is 650, 312, 43, 152
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 43 is 43
Prime Factorization of 152 is 2 x 2 x 2 x 19
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(650, 312) = 7800
GCD(650, 312) = ( 650 x 312 ) / 7800
GCD(650, 312) = 202800 / 7800
GCD(650, 312) = 26
Step2:
Here we consider the GCD from the above i.e. 26 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(26, 43) = 1118
GCD(26, 43) = ( 26 x 43 ) / 1118
GCD(26, 43) = 1118 / 1118
GCD(26, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
GCD of 650, 312, 43, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 650, 312, 43, 152?
GCD of 650, 312, 43, 152 is 1
2. Where do I get the detailed procedure to find GCD of 650, 312, 43, 152?
You can find a detailed procedure to find GCD of 650, 312, 43, 152 on our page.
3. How to find GCD of 650, 312, 43, 152 on a calculator?
You can find the GCD of 650, 312, 43, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.