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 291, 807, 577, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 291, 807, 577, 646 is 1
GCD(291, 807, 577, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 807, 577, 646 is 1
GCD(291, 807, 577, 646) = 1
Given Input numbers are 291, 807, 577, 646
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 291, 807, 577, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 807, 577, 646 is 1.
Therefore, GCD of numbers 291, 807, 577, 646 is 1
Given Input Data is 291, 807, 577, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 807 is 3 x 269
Prime Factorization of 577 is 577
Prime Factorization of 646 is 2 x 17 x 19
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(291, 807) = 78279
GCD(291, 807) = ( 291 x 807 ) / 78279
GCD(291, 807) = 234837 / 78279
GCD(291, 807) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 577
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 577) = 1731
GCD(3, 577) = ( 3 x 577 ) / 1731
GCD(3, 577) = 1731 / 1731
GCD(3, 577) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
GCD of 291, 807, 577, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 807, 577, 646?
GCD of 291, 807, 577, 646 is 1
2. Where do I get the detailed procedure to find GCD of 291, 807, 577, 646?
You can find a detailed procedure to find GCD of 291, 807, 577, 646 on our page.
3. How to find GCD of 291, 807, 577, 646 on a calculator?
You can find the GCD of 291, 807, 577, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.