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, 138, 844, 661 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 138, 844, 661 is 1
GCD(960, 138, 844, 661) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 138, 844, 661 is 1
GCD(960, 138, 844, 661) = 1
Given Input numbers are 960, 138, 844, 661
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 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Greatest Common Divisior
We found the divisors of 960, 138, 844, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 138, 844, 661 is 1.
Therefore, GCD of numbers 960, 138, 844, 661 is 1
Given Input Data is 960, 138, 844, 661
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 138 is 2 x 3 x 23
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 661 is 661
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, 138) = 22080
GCD(960, 138) = ( 960 x 138 ) / 22080
GCD(960, 138) = 132480 / 22080
GCD(960, 138) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 844
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 844) = 2532
GCD(6, 844) = ( 6 x 844 ) / 2532
GCD(6, 844) = 5064 / 2532
GCD(6, 844) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 661
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 661) = 1322
GCD(2, 661) = ( 2 x 661 ) / 1322
GCD(2, 661) = 1322 / 1322
GCD(2, 661) = 1
GCD of 960, 138, 844, 661 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 138, 844, 661?
GCD of 960, 138, 844, 661 is 1
2. Where do I get the detailed procedure to find GCD of 960, 138, 844, 661?
You can find a detailed procedure to find GCD of 960, 138, 844, 661 on our page.
3. How to find GCD of 960, 138, 844, 661 on a calculator?
You can find the GCD of 960, 138, 844, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.