Online GCD Calculator is useful to find the GCD of 361, 448, 521, 315 quickly. Get the easiest ways to solve the greatest common divisor of 361, 448, 521, 315 i.e 1 in different methods as follows.
Given Input numbers are 361, 448, 521, 315
In the factoring method, we have to find the divisors of all numbers
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 521 :
The positive integer divisors of 521 that completely divides 521 are.
1, 521
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
GCD of numbers is the greatest common divisor
So, the GCD (361, 448, 521, 315) = 1.
Given numbers are 361, 448, 521, 315
The list of prime factors of all numbers are
Prime factors of 361 are 19 x 19
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 521 are 521
Prime factors of 315 are 3 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 361, 448, 521, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(361, 448) = 161728
GCD(361, 448) = ( 361 x 448 ) / 161728
= 361 / 448
= 361
Step2:
LCM(1, 521) = 521
GCD(1, 521) = ( 1 x 521 ) / 521
= 1 / 521
= 1
Step3:
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
= 1 / 315
= 1
So, Greatest Common Divisor of 361, 448, 521, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 361, 448, 521, 315
The greatest common divisor of numbers 361, 448, 521, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 448, 521, 315 is 1.
1. What is the GCD of 361, 448, 521, 315?
GCD of given numbers 361, 448, 521, 315 is 1
2. How to calculate the greatest common divisor of 361, 448, 521, 315?
We can find the highest common divisor of 361, 448, 521, 315 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 361, 448, 521, 315 i.e 1.
3. How can I use the GCD of 361, 448, 521, 315Calculator?
Out the numbers 361, 448, 521, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.