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 49, 121, 475, 617 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 121, 475, 617 is 1
GCD(49, 121, 475, 617) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 121, 475, 617 is 1
GCD(49, 121, 475, 617) = 1
Given Input numbers are 49, 121, 475, 617
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Greatest Common Divisior
We found the divisors of 49, 121, 475, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 121, 475, 617 is 1.
Therefore, GCD of numbers 49, 121, 475, 617 is 1
Given Input Data is 49, 121, 475, 617
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 121 is 11 x 11
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 617 is 617
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(49, 121) = 5929
GCD(49, 121) = ( 49 x 121 ) / 5929
GCD(49, 121) = 5929 / 5929
GCD(49, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 475
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 475) = 475
GCD(1, 475) = ( 1 x 475 ) / 475
GCD(1, 475) = 475 / 475
GCD(1, 475) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 617) = 617
GCD(1, 617) = ( 1 x 617 ) / 617
GCD(1, 617) = 617 / 617
GCD(1, 617) = 1
GCD of 49, 121, 475, 617 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 121, 475, 617?
GCD of 49, 121, 475, 617 is 1
2. Where do I get the detailed procedure to find GCD of 49, 121, 475, 617?
You can find a detailed procedure to find GCD of 49, 121, 475, 617 on our page.
3. How to find GCD of 49, 121, 475, 617 on a calculator?
You can find the GCD of 49, 121, 475, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.