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 80, 488, 669, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 488, 669, 624 is 1
GCD(80, 488, 669, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 488, 669, 624 is 1
GCD(80, 488, 669, 624) = 1
Given Input numbers are 80, 488, 669, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Greatest Common Divisior
We found the divisors of 80, 488, 669, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 488, 669, 624 is 1.
Therefore, GCD of numbers 80, 488, 669, 624 is 1
Given Input Data is 80, 488, 669, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 669 is 3 x 223
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
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(80, 488) = 4880
GCD(80, 488) = ( 80 x 488 ) / 4880
GCD(80, 488) = 39040 / 4880
GCD(80, 488) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 669
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 669) = 5352
GCD(8, 669) = ( 8 x 669 ) / 5352
GCD(8, 669) = 5352 / 5352
GCD(8, 669) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
GCD of 80, 488, 669, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 488, 669, 624?
GCD of 80, 488, 669, 624 is 1
2. Where do I get the detailed procedure to find GCD of 80, 488, 669, 624?
You can find a detailed procedure to find GCD of 80, 488, 669, 624 on our page.
3. How to find GCD of 80, 488, 669, 624 on a calculator?
You can find the GCD of 80, 488, 669, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.