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, 709, 999, 158 i.e. 1 largest integer that divides all the numbers equally.
GCD of 945, 709, 999, 158 is 1
GCD(945, 709, 999, 158) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 709, 999, 158 is 1
GCD(945, 709, 999, 158) = 1
Given Input numbers are 945, 709, 999, 158
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 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Greatest Common Divisior
We found the divisors of 945, 709, 999, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 709, 999, 158 is 1.
Therefore, GCD of numbers 945, 709, 999, 158 is 1
Given Input Data is 945, 709, 999, 158
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 709 is 709
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 158 is 2 x 79
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, 709) = 670005
GCD(945, 709) = ( 945 x 709 ) / 670005
GCD(945, 709) = 670005 / 670005
GCD(945, 709) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
GCD(1, 999) = 999 / 999
GCD(1, 999) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 158
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 158) = 158
GCD(1, 158) = ( 1 x 158 ) / 158
GCD(1, 158) = 158 / 158
GCD(1, 158) = 1
GCD of 945, 709, 999, 158 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 709, 999, 158?
GCD of 945, 709, 999, 158 is 1
2. Where do I get the detailed procedure to find GCD of 945, 709, 999, 158?
You can find a detailed procedure to find GCD of 945, 709, 999, 158 on our page.
3. How to find GCD of 945, 709, 999, 158 on a calculator?
You can find the GCD of 945, 709, 999, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.