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 610, 126, 45, 837 i.e. 1 largest integer that divides all the numbers equally.
GCD of 610, 126, 45, 837 is 1
GCD(610, 126, 45, 837) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 610, 126, 45, 837 is 1
GCD(610, 126, 45, 837) = 1
Given Input numbers are 610, 126, 45, 837
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Greatest Common Divisior
We found the divisors of 610, 126, 45, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 126, 45, 837 is 1.
Therefore, GCD of numbers 610, 126, 45, 837 is 1
Given Input Data is 610, 126, 45, 837
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 837 is 3 x 3 x 3 x 31
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(610, 126) = 38430
GCD(610, 126) = ( 610 x 126 ) / 38430
GCD(610, 126) = 76860 / 38430
GCD(610, 126) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 45) = 90
GCD(2, 45) = ( 2 x 45 ) / 90
GCD(2, 45) = 90 / 90
GCD(2, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 837) = 837
GCD(1, 837) = ( 1 x 837 ) / 837
GCD(1, 837) = 837 / 837
GCD(1, 837) = 1
GCD of 610, 126, 45, 837 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 610, 126, 45, 837?
GCD of 610, 126, 45, 837 is 1
2. Where do I get the detailed procedure to find GCD of 610, 126, 45, 837?
You can find a detailed procedure to find GCD of 610, 126, 45, 837 on our page.
3. How to find GCD of 610, 126, 45, 837 on a calculator?
You can find the GCD of 610, 126, 45, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.