Online GCD Calculator is useful to find the GCD of 315, 380, 841, 448 quickly. Get the easiest ways to solve the greatest common divisor of 315, 380, 841, 448 i.e 1 in different methods as follows.
Given Input numbers are 315, 380, 841, 448
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 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 841 :
The positive integer divisors of 841 that completely divides 841 are.
1, 29, 841
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
GCD of numbers is the greatest common divisor
So, the GCD (315, 380, 841, 448) = 1.
Given numbers are 315, 380, 841, 448
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 841 are 29 x 29
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 315, 380, 841, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 380) = 23940
GCD(315, 380) = ( 315 x 380 ) / 23940
= 315 / 380
= 315
Step2:
LCM(5, 841) = 4205
GCD(5, 841) = ( 5 x 841 ) / 4205
= 5 / 841
= 5
Step3:
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
= 1 / 448
= 1
So, Greatest Common Divisor of 315, 380, 841, 448 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 380, 841, 448
The greatest common divisor of numbers 315, 380, 841, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 380, 841, 448 is 1.
1. What is the GCD of 315, 380, 841, 448?
GCD of given numbers 315, 380, 841, 448 is 1
2. How to calculate the greatest common divisor of 315, 380, 841, 448?
We can find the highest common divisor of 315, 380, 841, 448 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, 380, 841, 448 i.e 1.
3. How can I use the GCD of 315, 380, 841, 448Calculator?
Out the numbers 315, 380, 841, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.