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 654, 252, 752, 673 i.e. 1 largest integer that divides all the numbers equally.
GCD of 654, 252, 752, 673 is 1
GCD(654, 252, 752, 673) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 654, 252, 752, 673 is 1
GCD(654, 252, 752, 673) = 1
Given Input numbers are 654, 252, 752, 673
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Greatest Common Divisior
We found the divisors of 654, 252, 752, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 252, 752, 673 is 1.
Therefore, GCD of numbers 654, 252, 752, 673 is 1
Given Input Data is 654, 252, 752, 673
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 673 is 673
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(654, 252) = 27468
GCD(654, 252) = ( 654 x 252 ) / 27468
GCD(654, 252) = 164808 / 27468
GCD(654, 252) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 752) = 2256
GCD(6, 752) = ( 6 x 752 ) / 2256
GCD(6, 752) = 4512 / 2256
GCD(6, 752) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 673
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 673) = 1346
GCD(2, 673) = ( 2 x 673 ) / 1346
GCD(2, 673) = 1346 / 1346
GCD(2, 673) = 1
GCD of 654, 252, 752, 673 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 654, 252, 752, 673?
GCD of 654, 252, 752, 673 is 1
2. Where do I get the detailed procedure to find GCD of 654, 252, 752, 673?
You can find a detailed procedure to find GCD of 654, 252, 752, 673 on our page.
3. How to find GCD of 654, 252, 752, 673 on a calculator?
You can find the GCD of 654, 252, 752, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.