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 35, 682, 960, 495 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 682, 960, 495 is 1
GCD(35, 682, 960, 495) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 682, 960, 495 is 1
GCD(35, 682, 960, 495) = 1
Given Input numbers are 35, 682, 960, 495
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
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 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Greatest Common Divisior
We found the divisors of 35, 682, 960, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 682, 960, 495 is 1.
Therefore, GCD of numbers 35, 682, 960, 495 is 1
Given Input Data is 35, 682, 960, 495
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 495 is 3 x 3 x 5 x 11
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(35, 682) = 23870
GCD(35, 682) = ( 35 x 682 ) / 23870
GCD(35, 682) = 23870 / 23870
GCD(35, 682) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 960
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
GCD(1, 960) = 960 / 960
GCD(1, 960) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
GCD of 35, 682, 960, 495 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 682, 960, 495?
GCD of 35, 682, 960, 495 is 1
2. Where do I get the detailed procedure to find GCD of 35, 682, 960, 495?
You can find a detailed procedure to find GCD of 35, 682, 960, 495 on our page.
3. How to find GCD of 35, 682, 960, 495 on a calculator?
You can find the GCD of 35, 682, 960, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.