Online GCD Calculator is useful to find the GCD of 538, 675, 402, 315 quickly. Get the easiest ways to solve the greatest common divisor of 538, 675, 402, 315 i.e 1 in different methods as follows.
Given Input numbers are 538, 675, 402, 315
In the factoring method, we have to find the divisors of all numbers
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
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 (538, 675, 402, 315) = 1.
Given numbers are 538, 675, 402, 315
The list of prime factors of all numbers are
Prime factors of 538 are 2 x 269
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 402 are 2 x 3 x 67
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 538, 675, 402, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(538, 675) = 363150
GCD(538, 675) = ( 538 x 675 ) / 363150
= 538 / 675
= 538
Step2:
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
= 1 / 402
= 1
Step3:
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
= 1 / 315
= 1
So, Greatest Common Divisor of 538, 675, 402, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 538, 675, 402, 315
The greatest common divisor of numbers 538, 675, 402, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 675, 402, 315 is 1.
1. What is the GCD of 538, 675, 402, 315?
GCD of given numbers 538, 675, 402, 315 is 1
2. How to calculate the greatest common divisor of 538, 675, 402, 315?
We can find the highest common divisor of 538, 675, 402, 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 538, 675, 402, 315 i.e 1.
3. How can I use the GCD of 538, 675, 402, 315Calculator?
Out the numbers 538, 675, 402, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.