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, 870, 965, 270 i.e. 1 largest integer that divides all the numbers equally.
GCD of 664, 870, 965, 270 is 1
GCD(664, 870, 965, 270) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 664, 870, 965, 270 is 1
GCD(664, 870, 965, 270) = 1
Given Input numbers are 664, 870, 965, 270
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 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Greatest Common Divisior
We found the divisors of 664, 870, 965, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 870, 965, 270 is 1.
Therefore, GCD of numbers 664, 870, 965, 270 is 1
Given Input Data is 664, 870, 965, 270
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 870 is 2 x 3 x 5 x 29
Prime Factorization of 965 is 5 x 193
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
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, 870) = 288840
GCD(664, 870) = ( 664 x 870 ) / 288840
GCD(664, 870) = 577680 / 288840
GCD(664, 870) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 965) = 1930
GCD(2, 965) = ( 2 x 965 ) / 1930
GCD(2, 965) = 1930 / 1930
GCD(2, 965) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 1
GCD of 664, 870, 965, 270 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 664, 870, 965, 270?
GCD of 664, 870, 965, 270 is 1
2. Where do I get the detailed procedure to find GCD of 664, 870, 965, 270?
You can find a detailed procedure to find GCD of 664, 870, 965, 270 on our page.
3. How to find GCD of 664, 870, 965, 270 on a calculator?
You can find the GCD of 664, 870, 965, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.