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 664, 945, 181, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 664, 945, 181, 699 is 1
GCD(664, 945, 181, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 664, 945, 181, 699 is 1
GCD(664, 945, 181, 699) = 1
Given Input numbers are 664, 945, 181, 699
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
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 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 664, 945, 181, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 945, 181, 699 is 1.
Therefore, GCD of numbers 664, 945, 181, 699 is 1
Given Input Data is 664, 945, 181, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 181 is 181
Prime Factorization of 699 is 3 x 233
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(664, 945) = 627480
GCD(664, 945) = ( 664 x 945 ) / 627480
GCD(664, 945) = 627480 / 627480
GCD(664, 945) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 181
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 181) = 181
GCD(1, 181) = ( 1 x 181 ) / 181
GCD(1, 181) = 181 / 181
GCD(1, 181) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
GCD of 664, 945, 181, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 664, 945, 181, 699?
GCD of 664, 945, 181, 699 is 1
2. Where do I get the detailed procedure to find GCD of 664, 945, 181, 699?
You can find a detailed procedure to find GCD of 664, 945, 181, 699 on our page.
3. How to find GCD of 664, 945, 181, 699 on a calculator?
You can find the GCD of 664, 945, 181, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.