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 916, 241, 672, 512 i.e. 1 largest integer that divides all the numbers equally.
GCD of 916, 241, 672, 512 is 1
GCD(916, 241, 672, 512) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 916, 241, 672, 512 is 1
GCD(916, 241, 672, 512) = 1
Given Input numbers are 916, 241, 672, 512
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
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 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Greatest Common Divisior
We found the divisors of 916, 241, 672, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 241, 672, 512 is 1.
Therefore, GCD of numbers 916, 241, 672, 512 is 1
Given Input Data is 916, 241, 672, 512
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 241 is 241
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
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(916, 241) = 220756
GCD(916, 241) = ( 916 x 241 ) / 220756
GCD(916, 241) = 220756 / 220756
GCD(916, 241) = 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 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
GCD(1, 512) = 512 / 512
GCD(1, 512) = 1
GCD of 916, 241, 672, 512 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 916, 241, 672, 512?
GCD of 916, 241, 672, 512 is 1
2. Where do I get the detailed procedure to find GCD of 916, 241, 672, 512?
You can find a detailed procedure to find GCD of 916, 241, 672, 512 on our page.
3. How to find GCD of 916, 241, 672, 512 on a calculator?
You can find the GCD of 916, 241, 672, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.