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, 545, 460, 121 i.e. 1 largest integer that divides all the numbers equally.
GCD of 907, 545, 460, 121 is 1
GCD(907, 545, 460, 121) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 907, 545, 460, 121 is 1
GCD(907, 545, 460, 121) = 1
Given Input numbers are 907, 545, 460, 121
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 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Greatest Common Divisior
We found the divisors of 907, 545, 460, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 907, 545, 460, 121 is 1.
Therefore, GCD of numbers 907, 545, 460, 121 is 1
Given Input Data is 907, 545, 460, 121
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 907 is 907
Prime Factorization of 545 is 5 x 109
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 121 is 11 x 11
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, 545) = 494315
GCD(907, 545) = ( 907 x 545 ) / 494315
GCD(907, 545) = 494315 / 494315
GCD(907, 545) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
GCD(1, 121) = 121 / 121
GCD(1, 121) = 1
GCD of 907, 545, 460, 121 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 907, 545, 460, 121?
GCD of 907, 545, 460, 121 is 1
2. Where do I get the detailed procedure to find GCD of 907, 545, 460, 121?
You can find a detailed procedure to find GCD of 907, 545, 460, 121 on our page.
3. How to find GCD of 907, 545, 460, 121 on a calculator?
You can find the GCD of 907, 545, 460, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.