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 678, 762, 21, 530 i.e. 1 largest integer that divides all the numbers equally.
GCD of 678, 762, 21, 530 is 1
GCD(678, 762, 21, 530) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 678, 762, 21, 530 is 1
GCD(678, 762, 21, 530) = 1
Given Input numbers are 678, 762, 21, 530
To find the GCD of numbers using factoring list out all the divisors of each number
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 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Greatest Common Divisior
We found the divisors of 678, 762, 21, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 762, 21, 530 is 1.
Therefore, GCD of numbers 678, 762, 21, 530 is 1
Given Input Data is 678, 762, 21, 530
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 21 is 3 x 7
Prime Factorization of 530 is 2 x 5 x 53
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(678, 762) = 86106
GCD(678, 762) = ( 678 x 762 ) / 86106
GCD(678, 762) = 516636 / 86106
GCD(678, 762) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 21) = 42
GCD(6, 21) = ( 6 x 21 ) / 42
GCD(6, 21) = 126 / 42
GCD(6, 21) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 530
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 530) = 1590
GCD(3, 530) = ( 3 x 530 ) / 1590
GCD(3, 530) = 1590 / 1590
GCD(3, 530) = 1
GCD of 678, 762, 21, 530 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 678, 762, 21, 530?
GCD of 678, 762, 21, 530 is 1
2. Where do I get the detailed procedure to find GCD of 678, 762, 21, 530?
You can find a detailed procedure to find GCD of 678, 762, 21, 530 on our page.
3. How to find GCD of 678, 762, 21, 530 on a calculator?
You can find the GCD of 678, 762, 21, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.