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 670, 698, 922, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 670, 698, 922, 491 is 1
GCD(670, 698, 922, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 670, 698, 922, 491 is 1
GCD(670, 698, 922, 491) = 1
Given Input numbers are 670, 698, 922, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 670, 698, 922, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 698, 922, 491 is 1.
Therefore, GCD of numbers 670, 698, 922, 491 is 1
Given Input Data is 670, 698, 922, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 698 is 2 x 349
Prime Factorization of 922 is 2 x 461
Prime Factorization of 491 is 491
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(670, 698) = 233830
GCD(670, 698) = ( 670 x 698 ) / 233830
GCD(670, 698) = 467660 / 233830
GCD(670, 698) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 922) = 922
GCD(2, 922) = ( 2 x 922 ) / 922
GCD(2, 922) = 1844 / 922
GCD(2, 922) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 491) = 982
GCD(2, 491) = ( 2 x 491 ) / 982
GCD(2, 491) = 982 / 982
GCD(2, 491) = 1
GCD of 670, 698, 922, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 670, 698, 922, 491?
GCD of 670, 698, 922, 491 is 1
2. Where do I get the detailed procedure to find GCD of 670, 698, 922, 491?
You can find a detailed procedure to find GCD of 670, 698, 922, 491 on our page.
3. How to find GCD of 670, 698, 922, 491 on a calculator?
You can find the GCD of 670, 698, 922, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.