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 250, 364, 81, 672 i.e. 1 largest integer that divides all the numbers equally.
GCD of 250, 364, 81, 672 is 1
GCD(250, 364, 81, 672) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 364, 81, 672 is 1
GCD(250, 364, 81, 672) = 1
Given Input numbers are 250, 364, 81, 672
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
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
Greatest Common Divisior
We found the divisors of 250, 364, 81, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 364, 81, 672 is 1.
Therefore, GCD of numbers 250, 364, 81, 672 is 1
Given Input Data is 250, 364, 81, 672
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
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(250, 364) = 45500
GCD(250, 364) = ( 250 x 364 ) / 45500
GCD(250, 364) = 91000 / 45500
GCD(250, 364) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 81) = 162
GCD(2, 81) = ( 2 x 81 ) / 162
GCD(2, 81) = 162 / 162
GCD(2, 81) = 1
Step3:
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
GCD of 250, 364, 81, 672 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 364, 81, 672?
GCD of 250, 364, 81, 672 is 1
2. Where do I get the detailed procedure to find GCD of 250, 364, 81, 672?
You can find a detailed procedure to find GCD of 250, 364, 81, 672 on our page.
3. How to find GCD of 250, 364, 81, 672 on a calculator?
You can find the GCD of 250, 364, 81, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.