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 960, 248, 80, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 248, 80, 695 is 1
GCD(960, 248, 80, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 248, 80, 695 is 1
GCD(960, 248, 80, 695) = 1
Given Input numbers are 960, 248, 80, 695
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 960, 248, 80, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 248, 80, 695 is 1.
Therefore, GCD of numbers 960, 248, 80, 695 is 1
Given Input Data is 960, 248, 80, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 695 is 5 x 139
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(960, 248) = 29760
GCD(960, 248) = ( 960 x 248 ) / 29760
GCD(960, 248) = 238080 / 29760
GCD(960, 248) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 80) = 80
GCD(8, 80) = ( 8 x 80 ) / 80
GCD(8, 80) = 640 / 80
GCD(8, 80) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 695) = 5560
GCD(8, 695) = ( 8 x 695 ) / 5560
GCD(8, 695) = 5560 / 5560
GCD(8, 695) = 1
GCD of 960, 248, 80, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 248, 80, 695?
GCD of 960, 248, 80, 695 is 1
2. Where do I get the detailed procedure to find GCD of 960, 248, 80, 695?
You can find a detailed procedure to find GCD of 960, 248, 80, 695 on our page.
3. How to find GCD of 960, 248, 80, 695 on a calculator?
You can find the GCD of 960, 248, 80, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.