Online GCD Calculator is useful to find the GCD of 498, 600, 597, 316 quickly. Get the easiest ways to solve the greatest common divisor of 498, 600, 597, 316 i.e 1 in different methods as follows.
Given Input numbers are 498, 600, 597, 316
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 597 :
The positive integer divisors of 597 that completely divides 597 are.
1, 3, 199, 597
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
GCD of numbers is the greatest common divisor
So, the GCD (498, 600, 597, 316) = 1.
Given numbers are 498, 600, 597, 316
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 597 are 3 x 199
Prime factors of 316 are 2 x 2 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 498, 600, 597, 316
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 600) = 49800
GCD(498, 600) = ( 498 x 600 ) / 49800
= 498 / 600
= 498
Step2:
LCM(6, 597) = 1194
GCD(6, 597) = ( 6 x 597 ) / 1194
= 6 / 597
= 6
Step3:
LCM(3, 316) = 948
GCD(3, 316) = ( 3 x 316 ) / 948
= 3 / 316
= 3
So, Greatest Common Divisor of 498, 600, 597, 316 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 600, 597, 316
The greatest common divisor of numbers 498, 600, 597, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 600, 597, 316 is 1.
1. What is the GCD of 498, 600, 597, 316?
GCD of given numbers 498, 600, 597, 316 is 1
2. How to calculate the greatest common divisor of 498, 600, 597, 316?
We can find the highest common divisor of 498, 600, 597, 316 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 498, 600, 597, 316 i.e 1.
3. How can I use the GCD of 498, 600, 597, 316Calculator?
Out the numbers 498, 600, 597, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.