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 824, 678, 61, 654 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 678, 61, 654 is 1
GCD(824, 678, 61, 654) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 678, 61, 654 is 1
GCD(824, 678, 61, 654) = 1
Given Input numbers are 824, 678, 61, 654
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Greatest Common Divisior
We found the divisors of 824, 678, 61, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 678, 61, 654 is 1.
Therefore, GCD of numbers 824, 678, 61, 654 is 1
Given Input Data is 824, 678, 61, 654
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 61 is 61
Prime Factorization of 654 is 2 x 3 x 109
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(824, 678) = 279336
GCD(824, 678) = ( 824 x 678 ) / 279336
GCD(824, 678) = 558672 / 279336
GCD(824, 678) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 654) = 654
GCD(1, 654) = ( 1 x 654 ) / 654
GCD(1, 654) = 654 / 654
GCD(1, 654) = 1
GCD of 824, 678, 61, 654 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 678, 61, 654?
GCD of 824, 678, 61, 654 is 1
2. Where do I get the detailed procedure to find GCD of 824, 678, 61, 654?
You can find a detailed procedure to find GCD of 824, 678, 61, 654 on our page.
3. How to find GCD of 824, 678, 61, 654 on a calculator?
You can find the GCD of 824, 678, 61, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.