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 907, 654, 96, 189 i.e. 1 largest integer that divides all the numbers equally.
GCD of 907, 654, 96, 189 is 1
GCD(907, 654, 96, 189) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 907, 654, 96, 189 is 1
GCD(907, 654, 96, 189) = 1
Given Input numbers are 907, 654, 96, 189
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Greatest Common Divisior
We found the divisors of 907, 654, 96, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 907, 654, 96, 189 is 1.
Therefore, GCD of numbers 907, 654, 96, 189 is 1
Given Input Data is 907, 654, 96, 189
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 907 is 907
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 189 is 3 x 3 x 3 x 7
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(907, 654) = 593178
GCD(907, 654) = ( 907 x 654 ) / 593178
GCD(907, 654) = 593178 / 593178
GCD(907, 654) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
GCD(1, 189) = 189 / 189
GCD(1, 189) = 1
GCD of 907, 654, 96, 189 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 907, 654, 96, 189?
GCD of 907, 654, 96, 189 is 1
2. Where do I get the detailed procedure to find GCD of 907, 654, 96, 189?
You can find a detailed procedure to find GCD of 907, 654, 96, 189 on our page.
3. How to find GCD of 907, 654, 96, 189 on a calculator?
You can find the GCD of 907, 654, 96, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.