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 945, 910, 76 i.e. 1 largest integer that divides all the numbers equally.
GCD of 945, 910, 76 is 1
GCD(945, 910, 76) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 910, 76 is 1
GCD(945, 910, 76) = 1
Given Input numbers are 945, 910, 76
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Greatest Common Divisior
We found the divisors of 945, 910, 76 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 910, 76 is 1.
Therefore, GCD of numbers 945, 910, 76 is 1
Given Input Data is 945, 910, 76
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 76 is 2 x 2 x 19
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(945, 910) = 24570
GCD(945, 910) = ( 945 x 910 ) / 24570
GCD(945, 910) = 859950 / 24570
GCD(945, 910) = 35
Step2:
Here we consider the GCD from the above i.e. 35 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(35, 76) = 2660
GCD(35, 76) = ( 35 x 76 ) / 2660
GCD(35, 76) = 2660 / 2660
GCD(35, 76) = 1
GCD of 945, 910, 76 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 910, 76?
GCD of 945, 910, 76 is 1
2. Where do I get the detailed procedure to find GCD of 945, 910, 76?
You can find a detailed procedure to find GCD of 945, 910, 76 on our page.
3. How to find GCD of 945, 910, 76 on a calculator?
You can find the GCD of 945, 910, 76 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.