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 760, 993, 126, 187 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 993, 126, 187 is 1
GCD(760, 993, 126, 187) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 993, 126, 187 is 1
GCD(760, 993, 126, 187) = 1
Given Input numbers are 760, 993, 126, 187
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Greatest Common Divisior
We found the divisors of 760, 993, 126, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 993, 126, 187 is 1.
Therefore, GCD of numbers 760, 993, 126, 187 is 1
Given Input Data is 760, 993, 126, 187
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 993 is 3 x 331
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 187 is 11 x 17
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(760, 993) = 754680
GCD(760, 993) = ( 760 x 993 ) / 754680
GCD(760, 993) = 754680 / 754680
GCD(760, 993) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 187) = 187
GCD(1, 187) = ( 1 x 187 ) / 187
GCD(1, 187) = 187 / 187
GCD(1, 187) = 1
GCD of 760, 993, 126, 187 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 993, 126, 187?
GCD of 760, 993, 126, 187 is 1
2. Where do I get the detailed procedure to find GCD of 760, 993, 126, 187?
You can find a detailed procedure to find GCD of 760, 993, 126, 187 on our page.
3. How to find GCD of 760, 993, 126, 187 on a calculator?
You can find the GCD of 760, 993, 126, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.