Online GCD Calculator is useful to find the GCD of 500, 755, 898, 315 quickly. Get the easiest ways to solve the greatest common divisor of 500, 755, 898, 315 i.e 1 in different methods as follows.
Given Input numbers are 500, 755, 898, 315
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
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 (500, 755, 898, 315) = 1.
Given numbers are 500, 755, 898, 315
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 755 are 5 x 151
Prime factors of 898 are 2 x 449
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 500, 755, 898, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 755) = 75500
GCD(500, 755) = ( 500 x 755 ) / 75500
= 500 / 755
= 500
Step2:
LCM(5, 898) = 4490
GCD(5, 898) = ( 5 x 898 ) / 4490
= 5 / 898
= 5
Step3:
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
= 1 / 315
= 1
So, Greatest Common Divisor of 500, 755, 898, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 755, 898, 315
The greatest common divisor of numbers 500, 755, 898, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 755, 898, 315 is 1.
1. What is the GCD of 500, 755, 898, 315?
GCD of given numbers 500, 755, 898, 315 is 1
2. How to calculate the greatest common divisor of 500, 755, 898, 315?
We can find the highest common divisor of 500, 755, 898, 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 500, 755, 898, 315 i.e 1.
3. How can I use the GCD of 500, 755, 898, 315Calculator?
Out the numbers 500, 755, 898, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.