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 920, 993, 60, 154 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 993, 60, 154 is 1
GCD(920, 993, 60, 154) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 993, 60, 154 is 1
GCD(920, 993, 60, 154) = 1
Given Input numbers are 920, 993, 60, 154
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Greatest Common Divisior
We found the divisors of 920, 993, 60, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 993, 60, 154 is 1.
Therefore, GCD of numbers 920, 993, 60, 154 is 1
Given Input Data is 920, 993, 60, 154
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 993 is 3 x 331
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 154 is 2 x 7 x 11
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(920, 993) = 913560
GCD(920, 993) = ( 920 x 993 ) / 913560
GCD(920, 993) = 913560 / 913560
GCD(920, 993) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 1
GCD of 920, 993, 60, 154 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 993, 60, 154?
GCD of 920, 993, 60, 154 is 1
2. Where do I get the detailed procedure to find GCD of 920, 993, 60, 154?
You can find a detailed procedure to find GCD of 920, 993, 60, 154 on our page.
3. How to find GCD of 920, 993, 60, 154 on a calculator?
You can find the GCD of 920, 993, 60, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.