Online GCD Calculator is useful to find the GCD of 490, 638, 268, 825 quickly. Get the easiest ways to solve the greatest common divisor of 490, 638, 268, 825 i.e 1 in different methods as follows.
Given Input numbers are 490, 638, 268, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (490, 638, 268, 825) = 1.
Given numbers are 490, 638, 268, 825
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 638 are 2 x 11 x 29
Prime factors of 268 are 2 x 2 x 67
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 490, 638, 268, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 638) = 156310
GCD(490, 638) = ( 490 x 638 ) / 156310
= 490 / 638
= 490
Step2:
LCM(2, 268) = 268
GCD(2, 268) = ( 2 x 268 ) / 268
= 2 / 268
= 2
Step3:
LCM(2, 825) = 1650
GCD(2, 825) = ( 2 x 825 ) / 1650
= 2 / 825
= 2
So, Greatest Common Divisor of 490, 638, 268, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 638, 268, 825
The greatest common divisor of numbers 490, 638, 268, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 638, 268, 825 is 1.
1. What is the GCD of 490, 638, 268, 825?
GCD of given numbers 490, 638, 268, 825 is 1
2. How to calculate the greatest common divisor of 490, 638, 268, 825?
We can find the highest common divisor of 490, 638, 268, 825 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 490, 638, 268, 825 i.e 1.
3. How can I use the GCD of 490, 638, 268, 825Calculator?
Out the numbers 490, 638, 268, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.