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, 746, 461, 359 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 746, 461, 359 is 1
GCD(960, 746, 461, 359) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 746, 461, 359 is 1
GCD(960, 746, 461, 359) = 1
Given Input numbers are 960, 746, 461, 359
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 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Greatest Common Divisior
We found the divisors of 960, 746, 461, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 746, 461, 359 is 1.
Therefore, GCD of numbers 960, 746, 461, 359 is 1
Given Input Data is 960, 746, 461, 359
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 746 is 2 x 373
Prime Factorization of 461 is 461
Prime Factorization of 359 is 359
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, 746) = 358080
GCD(960, 746) = ( 960 x 746 ) / 358080
GCD(960, 746) = 716160 / 358080
GCD(960, 746) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 461
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 461) = 922
GCD(2, 461) = ( 2 x 461 ) / 922
GCD(2, 461) = 922 / 922
GCD(2, 461) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
GCD of 960, 746, 461, 359 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 746, 461, 359?
GCD of 960, 746, 461, 359 is 1
2. Where do I get the detailed procedure to find GCD of 960, 746, 461, 359?
You can find a detailed procedure to find GCD of 960, 746, 461, 359 on our page.
3. How to find GCD of 960, 746, 461, 359 on a calculator?
You can find the GCD of 960, 746, 461, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.