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 490, 710, 491, 577 i.e. 1 largest integer that divides all the numbers equally.
GCD of 490, 710, 491, 577 is 1
GCD(490, 710, 491, 577) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 490, 710, 491, 577 is 1
GCD(490, 710, 491, 577) = 1
Given Input numbers are 490, 710, 491, 577
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Greatest Common Divisior
We found the divisors of 490, 710, 491, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 710, 491, 577 is 1.
Therefore, GCD of numbers 490, 710, 491, 577 is 1
Given Input Data is 490, 710, 491, 577
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 491 is 491
Prime Factorization of 577 is 577
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(490, 710) = 34790
GCD(490, 710) = ( 490 x 710 ) / 34790
GCD(490, 710) = 347900 / 34790
GCD(490, 710) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 491) = 4910
GCD(10, 491) = ( 10 x 491 ) / 4910
GCD(10, 491) = 4910 / 4910
GCD(10, 491) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 577
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 577) = 577
GCD(1, 577) = ( 1 x 577 ) / 577
GCD(1, 577) = 577 / 577
GCD(1, 577) = 1
GCD of 490, 710, 491, 577 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 490, 710, 491, 577?
GCD of 490, 710, 491, 577 is 1
2. Where do I get the detailed procedure to find GCD of 490, 710, 491, 577?
You can find a detailed procedure to find GCD of 490, 710, 491, 577 on our page.
3. How to find GCD of 490, 710, 491, 577 on a calculator?
You can find the GCD of 490, 710, 491, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.