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 67, 767, 828, 610 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 767, 828, 610 is 1
GCD(67, 767, 828, 610) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 767, 828, 610 is 1
GCD(67, 767, 828, 610) = 1
Given Input numbers are 67, 767, 828, 610
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Greatest Common Divisior
We found the divisors of 67, 767, 828, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 767, 828, 610 is 1.
Therefore, GCD of numbers 67, 767, 828, 610 is 1
Given Input Data is 67, 767, 828, 610
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 767 is 13 x 59
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 610 is 2 x 5 x 61
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(67, 767) = 51389
GCD(67, 767) = ( 67 x 767 ) / 51389
GCD(67, 767) = 51389 / 51389
GCD(67, 767) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
GCD(1, 828) = 828 / 828
GCD(1, 828) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 610
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 610) = 610
GCD(1, 610) = ( 1 x 610 ) / 610
GCD(1, 610) = 610 / 610
GCD(1, 610) = 1
GCD of 67, 767, 828, 610 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 767, 828, 610?
GCD of 67, 767, 828, 610 is 1
2. Where do I get the detailed procedure to find GCD of 67, 767, 828, 610?
You can find a detailed procedure to find GCD of 67, 767, 828, 610 on our page.
3. How to find GCD of 67, 767, 828, 610 on a calculator?
You can find the GCD of 67, 767, 828, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.