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 152, 830, 99, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 152, 830, 99, 624 is 1
GCD(152, 830, 99, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 152, 830, 99, 624 is 1
GCD(152, 830, 99, 624) = 1
Given Input numbers are 152, 830, 99, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Greatest Common Divisior
We found the divisors of 152, 830, 99, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 830, 99, 624 is 1.
Therefore, GCD of numbers 152, 830, 99, 624 is 1
Given Input Data is 152, 830, 99, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
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(152, 830) = 63080
GCD(152, 830) = ( 152 x 830 ) / 63080
GCD(152, 830) = 126160 / 63080
GCD(152, 830) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 99) = 198
GCD(2, 99) = ( 2 x 99 ) / 198
GCD(2, 99) = 198 / 198
GCD(2, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
GCD of 152, 830, 99, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 152, 830, 99, 624?
GCD of 152, 830, 99, 624 is 1
2. Where do I get the detailed procedure to find GCD of 152, 830, 99, 624?
You can find a detailed procedure to find GCD of 152, 830, 99, 624 on our page.
3. How to find GCD of 152, 830, 99, 624 on a calculator?
You can find the GCD of 152, 830, 99, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.