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 669, 425, 800, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 669, 425, 800, 753 is 1
GCD(669, 425, 800, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 669, 425, 800, 753 is 1
GCD(669, 425, 800, 753) = 1
Given Input numbers are 669, 425, 800, 753
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 669, 425, 800, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 425, 800, 753 is 1.
Therefore, GCD of numbers 669, 425, 800, 753 is 1
Given Input Data is 669, 425, 800, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 669 is 3 x 223
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 753 is 3 x 251
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(669, 425) = 284325
GCD(669, 425) = ( 669 x 425 ) / 284325
GCD(669, 425) = 284325 / 284325
GCD(669, 425) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 669, 425, 800, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 669, 425, 800, 753?
GCD of 669, 425, 800, 753 is 1
2. Where do I get the detailed procedure to find GCD of 669, 425, 800, 753?
You can find a detailed procedure to find GCD of 669, 425, 800, 753 on our page.
3. How to find GCD of 669, 425, 800, 753 on a calculator?
You can find the GCD of 669, 425, 800, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.