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 254, 567, 672, 628 i.e. 1 largest integer that divides all the numbers equally.
GCD of 254, 567, 672, 628 is 1
GCD(254, 567, 672, 628) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 254, 567, 672, 628 is 1
GCD(254, 567, 672, 628) = 1
Given Input numbers are 254, 567, 672, 628
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Greatest Common Divisior
We found the divisors of 254, 567, 672, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 567, 672, 628 is 1.
Therefore, GCD of numbers 254, 567, 672, 628 is 1
Given Input Data is 254, 567, 672, 628
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 254 is 2 x 127
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 628 is 2 x 2 x 157
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(254, 567) = 144018
GCD(254, 567) = ( 254 x 567 ) / 144018
GCD(254, 567) = 144018 / 144018
GCD(254, 567) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 672
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
GCD(1, 672) = 672 / 672
GCD(1, 672) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 628) = 628
GCD(1, 628) = ( 1 x 628 ) / 628
GCD(1, 628) = 628 / 628
GCD(1, 628) = 1
GCD of 254, 567, 672, 628 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 254, 567, 672, 628?
GCD of 254, 567, 672, 628 is 1
2. Where do I get the detailed procedure to find GCD of 254, 567, 672, 628?
You can find a detailed procedure to find GCD of 254, 567, 672, 628 on our page.
3. How to find GCD of 254, 567, 672, 628 on a calculator?
You can find the GCD of 254, 567, 672, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.