Online GCD Calculator is useful to find the GCD of 105, 624, 638, 490 quickly. Get the easiest ways to solve the greatest common divisor of 105, 624, 638, 490 i.e 1 in different methods as follows.
Given Input numbers are 105, 624, 638, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
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
GCD of numbers is the greatest common divisor
So, the GCD (105, 624, 638, 490) = 1.
Given numbers are 105, 624, 638, 490
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 638 are 2 x 11 x 29
Prime factors of 490 are 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 624, 638, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 624) = 21840
GCD(105, 624) = ( 105 x 624 ) / 21840
= 105 / 624
= 105
Step2:
LCM(3, 638) = 1914
GCD(3, 638) = ( 3 x 638 ) / 1914
= 3 / 638
= 3
Step3:
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
= 1 / 490
= 1
So, Greatest Common Divisor of 105, 624, 638, 490 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 624, 638, 490
The greatest common divisor of numbers 105, 624, 638, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 624, 638, 490 is 1.
1. What is the GCD of 105, 624, 638, 490?
GCD of given numbers 105, 624, 638, 490 is 1
2. How to calculate the greatest common divisor of 105, 624, 638, 490?
We can find the highest common divisor of 105, 624, 638, 490 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 105, 624, 638, 490 i.e 1.
3. How can I use the GCD of 105, 624, 638, 490Calculator?
Out the numbers 105, 624, 638, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.