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 747, 899, 678, 666 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 899, 678, 666 is 1
GCD(747, 899, 678, 666) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 899, 678, 666 is 1
GCD(747, 899, 678, 666) = 1
Given Input numbers are 747, 899, 678, 666
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Greatest Common Divisior
We found the divisors of 747, 899, 678, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 899, 678, 666 is 1.
Therefore, GCD of numbers 747, 899, 678, 666 is 1
Given Input Data is 747, 899, 678, 666
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 899 is 29 x 31
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 666 is 2 x 3 x 3 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(747, 899) = 671553
GCD(747, 899) = ( 747 x 899 ) / 671553
GCD(747, 899) = 671553 / 671553
GCD(747, 899) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 678
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
GCD(1, 678) = 678 / 678
GCD(1, 678) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 666) = 666
GCD(1, 666) = ( 1 x 666 ) / 666
GCD(1, 666) = 666 / 666
GCD(1, 666) = 1
GCD of 747, 899, 678, 666 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 899, 678, 666?
GCD of 747, 899, 678, 666 is 1
2. Where do I get the detailed procedure to find GCD of 747, 899, 678, 666?
You can find a detailed procedure to find GCD of 747, 899, 678, 666 on our page.
3. How to find GCD of 747, 899, 678, 666 on a calculator?
You can find the GCD of 747, 899, 678, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.