Online GCD Calculator is useful to find the GCD of 315, 112, 461, 490 quickly. Get the easiest ways to solve the greatest common divisor of 315, 112, 461, 490 i.e 1 in different methods as follows.
Given Input numbers are 315, 112, 461, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
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 (315, 112, 461, 490) = 1.
Given numbers are 315, 112, 461, 490
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 461 are 461
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 315, 112, 461, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 112) = 5040
GCD(315, 112) = ( 315 x 112 ) / 5040
= 315 / 112
= 315
Step2:
LCM(7, 461) = 3227
GCD(7, 461) = ( 7 x 461 ) / 3227
= 7 / 461
= 7
Step3:
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
= 1 / 490
= 1
So, Greatest Common Divisor of 315, 112, 461, 490 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 112, 461, 490
The greatest common divisor of numbers 315, 112, 461, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 112, 461, 490 is 1.
1. What is the GCD of 315, 112, 461, 490?
GCD of given numbers 315, 112, 461, 490 is 1
2. How to calculate the greatest common divisor of 315, 112, 461, 490?
We can find the highest common divisor of 315, 112, 461, 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 315, 112, 461, 490 i.e 1.
3. How can I use the GCD of 315, 112, 461, 490Calculator?
Out the numbers 315, 112, 461, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.