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 60, 992, 312, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 992, 312, 145 is 1
GCD(60, 992, 312, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 992, 312, 145 is 1
GCD(60, 992, 312, 145) = 1
Given Input numbers are 60, 992, 312, 145
To find the GCD of numbers using factoring list out all the divisors of each number
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 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
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 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 60, 992, 312, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 992, 312, 145 is 1.
Therefore, GCD of numbers 60, 992, 312, 145 is 1
Given Input Data is 60, 992, 312, 145
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 145 is 5 x 29
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(60, 992) = 14880
GCD(60, 992) = ( 60 x 992 ) / 14880
GCD(60, 992) = 59520 / 14880
GCD(60, 992) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 312) = 312
GCD(4, 312) = ( 4 x 312 ) / 312
GCD(4, 312) = 1248 / 312
GCD(4, 312) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 145) = 580
GCD(4, 145) = ( 4 x 145 ) / 580
GCD(4, 145) = 580 / 580
GCD(4, 145) = 1
GCD of 60, 992, 312, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 992, 312, 145?
GCD of 60, 992, 312, 145 is 1
2. Where do I get the detailed procedure to find GCD of 60, 992, 312, 145?
You can find a detailed procedure to find GCD of 60, 992, 312, 145 on our page.
3. How to find GCD of 60, 992, 312, 145 on a calculator?
You can find the GCD of 60, 992, 312, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.