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, 754, 186, 909 i.e. 1 largest integer that divides all the numbers equally.
GCD of 490, 754, 186, 909 is 1
GCD(490, 754, 186, 909) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 490, 754, 186, 909 is 1
GCD(490, 754, 186, 909) = 1
Given Input numbers are 490, 754, 186, 909
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 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Greatest Common Divisior
We found the divisors of 490, 754, 186, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 754, 186, 909 is 1.
Therefore, GCD of numbers 490, 754, 186, 909 is 1
Given Input Data is 490, 754, 186, 909
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 754 is 2 x 13 x 29
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 909 is 3 x 3 x 101
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, 754) = 184730
GCD(490, 754) = ( 490 x 754 ) / 184730
GCD(490, 754) = 369460 / 184730
GCD(490, 754) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 186
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 186) = 186
GCD(2, 186) = ( 2 x 186 ) / 186
GCD(2, 186) = 372 / 186
GCD(2, 186) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 909) = 1818
GCD(2, 909) = ( 2 x 909 ) / 1818
GCD(2, 909) = 1818 / 1818
GCD(2, 909) = 1
GCD of 490, 754, 186, 909 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 490, 754, 186, 909?
GCD of 490, 754, 186, 909 is 1
2. Where do I get the detailed procedure to find GCD of 490, 754, 186, 909?
You can find a detailed procedure to find GCD of 490, 754, 186, 909 on our page.
3. How to find GCD of 490, 754, 186, 909 on a calculator?
You can find the GCD of 490, 754, 186, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.