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 16, 762, 861, 124 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 762, 861, 124 is 1
GCD(16, 762, 861, 124) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 762, 861, 124 is 1
GCD(16, 762, 861, 124) = 1
Given Input numbers are 16, 762, 861, 124
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 16, 762, 861, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 762, 861, 124 is 1.
Therefore, GCD of numbers 16, 762, 861, 124 is 1
Given Input Data is 16, 762, 861, 124
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 124 is 2 x 2 x 31
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(16, 762) = 6096
GCD(16, 762) = ( 16 x 762 ) / 6096
GCD(16, 762) = 12192 / 6096
GCD(16, 762) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 861) = 1722
GCD(2, 861) = ( 2 x 861 ) / 1722
GCD(2, 861) = 1722 / 1722
GCD(2, 861) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
GCD of 16, 762, 861, 124 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 762, 861, 124?
GCD of 16, 762, 861, 124 is 1
2. Where do I get the detailed procedure to find GCD of 16, 762, 861, 124?
You can find a detailed procedure to find GCD of 16, 762, 861, 124 on our page.
3. How to find GCD of 16, 762, 861, 124 on a calculator?
You can find the GCD of 16, 762, 861, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.