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 716, 551, 920, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 716, 551, 920, 646 is 1
GCD(716, 551, 920, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 716, 551, 920, 646 is 1
GCD(716, 551, 920, 646) = 1
Given Input numbers are 716, 551, 920, 646
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
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 716, 551, 920, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 551, 920, 646 is 1.
Therefore, GCD of numbers 716, 551, 920, 646 is 1
Given Input Data is 716, 551, 920, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 551 is 19 x 29
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
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(716, 551) = 394516
GCD(716, 551) = ( 716 x 551 ) / 394516
GCD(716, 551) = 394516 / 394516
GCD(716, 551) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 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 716, 551, 920, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 716, 551, 920, 646?
GCD of 716, 551, 920, 646 is 1
2. Where do I get the detailed procedure to find GCD of 716, 551, 920, 646?
You can find a detailed procedure to find GCD of 716, 551, 920, 646 on our page.
3. How to find GCD of 716, 551, 920, 646 on a calculator?
You can find the GCD of 716, 551, 920, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.