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 834, 315, 70, 960 i.e. 1 largest integer that divides all the numbers equally.
GCD of 834, 315, 70, 960 is 1
GCD(834, 315, 70, 960) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 315, 70, 960 is 1
GCD(834, 315, 70, 960) = 1
Given Input numbers are 834, 315, 70, 960
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
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
Greatest Common Divisior
We found the divisors of 834, 315, 70, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 315, 70, 960 is 1.
Therefore, GCD of numbers 834, 315, 70, 960 is 1
Given Input Data is 834, 315, 70, 960
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 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(834, 315) = 87570
GCD(834, 315) = ( 834 x 315 ) / 87570
GCD(834, 315) = 262710 / 87570
GCD(834, 315) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 70) = 210
GCD(3, 70) = ( 3 x 70 ) / 210
GCD(3, 70) = 210 / 210
GCD(3, 70) = 1
Step3:
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
GCD of 834, 315, 70, 960 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 315, 70, 960?
GCD of 834, 315, 70, 960 is 1
2. Where do I get the detailed procedure to find GCD of 834, 315, 70, 960?
You can find a detailed procedure to find GCD of 834, 315, 70, 960 on our page.
3. How to find GCD of 834, 315, 70, 960 on a calculator?
You can find the GCD of 834, 315, 70, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.