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, 992, 520, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 992, 520, 629 is 1
GCD(61, 992, 520, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 992, 520, 629 is 1
GCD(61, 992, 520, 629) = 1
Given Input numbers are 61, 992, 520, 629
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 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 61, 992, 520, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 992, 520, 629 is 1.
Therefore, GCD of numbers 61, 992, 520, 629 is 1
Given Input Data is 61, 992, 520, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 629 is 17 x 37
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, 992) = 60512
GCD(61, 992) = ( 61 x 992 ) / 60512
GCD(61, 992) = 60512 / 60512
GCD(61, 992) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
GCD of 61, 992, 520, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 992, 520, 629?
GCD of 61, 992, 520, 629 is 1
2. Where do I get the detailed procedure to find GCD of 61, 992, 520, 629?
You can find a detailed procedure to find GCD of 61, 992, 520, 629 on our page.
3. How to find GCD of 61, 992, 520, 629 on a calculator?
You can find the GCD of 61, 992, 520, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.