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 623, 676, 60, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 623, 676, 60, 802 is 1
GCD(623, 676, 60, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 623, 676, 60, 802 is 1
GCD(623, 676, 60, 802) = 1
Given Input numbers are 623, 676, 60, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 623, 676, 60, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 623, 676, 60, 802 is 1.
Therefore, GCD of numbers 623, 676, 60, 802 is 1
Given Input Data is 623, 676, 60, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 623 is 7 x 89
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 802 is 2 x 401
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(623, 676) = 421148
GCD(623, 676) = ( 623 x 676 ) / 421148
GCD(623, 676) = 421148 / 421148
GCD(623, 676) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
GCD of 623, 676, 60, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 623, 676, 60, 802?
GCD of 623, 676, 60, 802 is 1
2. Where do I get the detailed procedure to find GCD of 623, 676, 60, 802?
You can find a detailed procedure to find GCD of 623, 676, 60, 802 on our page.
3. How to find GCD of 623, 676, 60, 802 on a calculator?
You can find the GCD of 623, 676, 60, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.