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, 149, 423, 664 i.e. 1 largest integer that divides all the numbers equally.
GCD of 490, 149, 423, 664 is 1
GCD(490, 149, 423, 664) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 490, 149, 423, 664 is 1
GCD(490, 149, 423, 664) = 1
Given Input numbers are 490, 149, 423, 664
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 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Greatest Common Divisior
We found the divisors of 490, 149, 423, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 149, 423, 664 is 1.
Therefore, GCD of numbers 490, 149, 423, 664 is 1
Given Input Data is 490, 149, 423, 664
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 149 is 149
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 664 is 2 x 2 x 2 x 83
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, 149) = 73010
GCD(490, 149) = ( 490 x 149 ) / 73010
GCD(490, 149) = 73010 / 73010
GCD(490, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 423
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
GCD(1, 423) = 423 / 423
GCD(1, 423) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 664) = 664
GCD(1, 664) = ( 1 x 664 ) / 664
GCD(1, 664) = 664 / 664
GCD(1, 664) = 1
GCD of 490, 149, 423, 664 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 490, 149, 423, 664?
GCD of 490, 149, 423, 664 is 1
2. Where do I get the detailed procedure to find GCD of 490, 149, 423, 664?
You can find a detailed procedure to find GCD of 490, 149, 423, 664 on our page.
3. How to find GCD of 490, 149, 423, 664 on a calculator?
You can find the GCD of 490, 149, 423, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.