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 634, 490, 127, 105 i.e. 1 largest integer that divides all the numbers equally.
GCD of 634, 490, 127, 105 is 1
GCD(634, 490, 127, 105) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 634, 490, 127, 105 is 1
GCD(634, 490, 127, 105) = 1
Given Input numbers are 634, 490, 127, 105
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
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 127
List of positive integer divisors of 127 that divides 127 without a remainder.
1, 127
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Greatest Common Divisior
We found the divisors of 634, 490, 127, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 490, 127, 105 is 1.
Therefore, GCD of numbers 634, 490, 127, 105 is 1
Given Input Data is 634, 490, 127, 105
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 634 is 2 x 317
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 127 is 127
Prime Factorization of 105 is 3 x 5 x 7
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(634, 490) = 155330
GCD(634, 490) = ( 634 x 490 ) / 155330
GCD(634, 490) = 310660 / 155330
GCD(634, 490) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 127
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 127) = 254
GCD(2, 127) = ( 2 x 127 ) / 254
GCD(2, 127) = 254 / 254
GCD(2, 127) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
GCD(1, 105) = 105 / 105
GCD(1, 105) = 1
GCD of 634, 490, 127, 105 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 634, 490, 127, 105?
GCD of 634, 490, 127, 105 is 1
2. Where do I get the detailed procedure to find GCD of 634, 490, 127, 105?
You can find a detailed procedure to find GCD of 634, 490, 127, 105 on our page.
3. How to find GCD of 634, 490, 127, 105 on a calculator?
You can find the GCD of 634, 490, 127, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.