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 61, 125, 320, 633 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 125, 320, 633 is 1
GCD(61, 125, 320, 633) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 125, 320, 633 is 1
GCD(61, 125, 320, 633) = 1
Given Input numbers are 61, 125, 320, 633
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Greatest Common Divisior
We found the divisors of 61, 125, 320, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 125, 320, 633 is 1.
Therefore, GCD of numbers 61, 125, 320, 633 is 1
Given Input Data is 61, 125, 320, 633
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 633 is 3 x 211
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(61, 125) = 7625
GCD(61, 125) = ( 61 x 125 ) / 7625
GCD(61, 125) = 7625 / 7625
GCD(61, 125) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 633) = 633
GCD(1, 633) = ( 1 x 633 ) / 633
GCD(1, 633) = 633 / 633
GCD(1, 633) = 1
GCD of 61, 125, 320, 633 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 125, 320, 633?
GCD of 61, 125, 320, 633 is 1
2. Where do I get the detailed procedure to find GCD of 61, 125, 320, 633?
You can find a detailed procedure to find GCD of 61, 125, 320, 633 on our page.
3. How to find GCD of 61, 125, 320, 633 on a calculator?
You can find the GCD of 61, 125, 320, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.