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 672, 490, 717, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 672, 490, 717, 537 is 1
GCD(672, 490, 717, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 672, 490, 717, 537 is 1
GCD(672, 490, 717, 537) = 1
Given Input numbers are 672, 490, 717, 537
To find the GCD of numbers using factoring list out all the divisors of each number
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 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 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 672, 490, 717, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 490, 717, 537 is 1.
Therefore, GCD of numbers 672, 490, 717, 537 is 1
Given Input Data is 672, 490, 717, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 717 is 3 x 239
Prime Factorization of 537 is 3 x 179
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(672, 490) = 23520
GCD(672, 490) = ( 672 x 490 ) / 23520
GCD(672, 490) = 329280 / 23520
GCD(672, 490) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 717) = 10038
GCD(14, 717) = ( 14 x 717 ) / 10038
GCD(14, 717) = 10038 / 10038
GCD(14, 717) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
GCD of 672, 490, 717, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 672, 490, 717, 537?
GCD of 672, 490, 717, 537 is 1
2. Where do I get the detailed procedure to find GCD of 672, 490, 717, 537?
You can find a detailed procedure to find GCD of 672, 490, 717, 537 on our page.
3. How to find GCD of 672, 490, 717, 537 on a calculator?
You can find the GCD of 672, 490, 717, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.