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 113, 904, 701, 545 i.e. 1 largest integer that divides all the numbers equally.
GCD of 113, 904, 701, 545 is 1
GCD(113, 904, 701, 545) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 113, 904, 701, 545 is 1
GCD(113, 904, 701, 545) = 1
Given Input numbers are 113, 904, 701, 545
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Greatest Common Divisior
We found the divisors of 113, 904, 701, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 904, 701, 545 is 1.
Therefore, GCD of numbers 113, 904, 701, 545 is 1
Given Input Data is 113, 904, 701, 545
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 113 is 113
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 701 is 701
Prime Factorization of 545 is 5 x 109
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(113, 904) = 904
GCD(113, 904) = ( 113 x 904 ) / 904
GCD(113, 904) = 102152 / 904
GCD(113, 904) = 113
Step2:
Here we consider the GCD from the above i.e. 113 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(113, 701) = 79213
GCD(113, 701) = ( 113 x 701 ) / 79213
GCD(113, 701) = 79213 / 79213
GCD(113, 701) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 545) = 545
GCD(1, 545) = ( 1 x 545 ) / 545
GCD(1, 545) = 545 / 545
GCD(1, 545) = 1
GCD of 113, 904, 701, 545 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 113, 904, 701, 545?
GCD of 113, 904, 701, 545 is 1
2. Where do I get the detailed procedure to find GCD of 113, 904, 701, 545?
You can find a detailed procedure to find GCD of 113, 904, 701, 545 on our page.
3. How to find GCD of 113, 904, 701, 545 on a calculator?
You can find the GCD of 113, 904, 701, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.