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 99, 877, 158, 240 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 877, 158, 240 is 1
GCD(99, 877, 158, 240) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 877, 158, 240 is 1
GCD(99, 877, 158, 240) = 1
Given Input numbers are 99, 877, 158, 240
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Greatest Common Divisior
We found the divisors of 99, 877, 158, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 877, 158, 240 is 1.
Therefore, GCD of numbers 99, 877, 158, 240 is 1
Given Input Data is 99, 877, 158, 240
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 877 is 877
Prime Factorization of 158 is 2 x 79
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
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(99, 877) = 86823
GCD(99, 877) = ( 99 x 877 ) / 86823
GCD(99, 877) = 86823 / 86823
GCD(99, 877) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 158
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 158) = 158
GCD(1, 158) = ( 1 x 158 ) / 158
GCD(1, 158) = 158 / 158
GCD(1, 158) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
GCD of 99, 877, 158, 240 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 877, 158, 240?
GCD of 99, 877, 158, 240 is 1
2. Where do I get the detailed procedure to find GCD of 99, 877, 158, 240?
You can find a detailed procedure to find GCD of 99, 877, 158, 240 on our page.
3. How to find GCD of 99, 877, 158, 240 on a calculator?
You can find the GCD of 99, 877, 158, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.