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, 834, 158, 160 i.e. 2 largest integer that divides all the numbers equally.
GCD of 960, 834, 158, 160 is 2
GCD(960, 834, 158, 160) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 834, 158, 160 is 2
GCD(960, 834, 158, 160) = 2
Given Input numbers are 960, 834, 158, 160
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 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 960, 834, 158, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 834, 158, 160 is 2.
Therefore, GCD of numbers 960, 834, 158, 160 is 2
Given Input Data is 960, 834, 158, 160
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 834 is 2 x 3 x 139
Prime Factorization of 158 is 2 x 79
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 834) = 133440
GCD(960, 834) = ( 960 x 834 ) / 133440
GCD(960, 834) = 800640 / 133440
GCD(960, 834) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 158
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 158) = 474
GCD(6, 158) = ( 6 x 158 ) / 474
GCD(6, 158) = 948 / 474
GCD(6, 158) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
GCD(2, 160) = 320 / 160
GCD(2, 160) = 2
GCD of 960, 834, 158, 160 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 834, 158, 160?
GCD of 960, 834, 158, 160 is 2
2. Where do I get the detailed procedure to find GCD of 960, 834, 158, 160?
You can find a detailed procedure to find GCD of 960, 834, 158, 160 on our page.
3. How to find GCD of 960, 834, 158, 160 on a calculator?
You can find the GCD of 960, 834, 158, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.