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 372, 660, 862, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 660, 862, 777 is 1
GCD(372, 660, 862, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 660, 862, 777 is 1
GCD(372, 660, 862, 777) = 1
Given Input numbers are 372, 660, 862, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 372, 660, 862, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 660, 862, 777 is 1.
Therefore, GCD of numbers 372, 660, 862, 777 is 1
Given Input Data is 372, 660, 862, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 862 is 2 x 431
Prime Factorization of 777 is 3 x 7 x 37
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(372, 660) = 20460
GCD(372, 660) = ( 372 x 660 ) / 20460
GCD(372, 660) = 245520 / 20460
GCD(372, 660) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 862) = 5172
GCD(12, 862) = ( 12 x 862 ) / 5172
GCD(12, 862) = 10344 / 5172
GCD(12, 862) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 777) = 1554
GCD(2, 777) = ( 2 x 777 ) / 1554
GCD(2, 777) = 1554 / 1554
GCD(2, 777) = 1
GCD of 372, 660, 862, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 660, 862, 777?
GCD of 372, 660, 862, 777 is 1
2. Where do I get the detailed procedure to find GCD of 372, 660, 862, 777?
You can find a detailed procedure to find GCD of 372, 660, 862, 777 on our page.
3. How to find GCD of 372, 660, 862, 777 on a calculator?
You can find the GCD of 372, 660, 862, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.