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 761, 943, 380, 996 i.e. 1 largest integer that divides all the numbers equally.
GCD of 761, 943, 380, 996 is 1
GCD(761, 943, 380, 996) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 761, 943, 380, 996 is 1
GCD(761, 943, 380, 996) = 1
Given Input numbers are 761, 943, 380, 996
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Greatest Common Divisior
We found the divisors of 761, 943, 380, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 761, 943, 380, 996 is 1.
Therefore, GCD of numbers 761, 943, 380, 996 is 1
Given Input Data is 761, 943, 380, 996
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 761 is 761
Prime Factorization of 943 is 23 x 41
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 996 is 2 x 2 x 3 x 83
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(761, 943) = 717623
GCD(761, 943) = ( 761 x 943 ) / 717623
GCD(761, 943) = 717623 / 717623
GCD(761, 943) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
GCD(1, 996) = 996 / 996
GCD(1, 996) = 1
GCD of 761, 943, 380, 996 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 761, 943, 380, 996?
GCD of 761, 943, 380, 996 is 1
2. Where do I get the detailed procedure to find GCD of 761, 943, 380, 996?
You can find a detailed procedure to find GCD of 761, 943, 380, 996 on our page.
3. How to find GCD of 761, 943, 380, 996 on a calculator?
You can find the GCD of 761, 943, 380, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.