Online GCD Calculator is useful to find the GCD of 492, 313, 600, 358 quickly. Get the easiest ways to solve the greatest common divisor of 492, 313, 600, 358 i.e 1 in different methods as follows.
Given Input numbers are 492, 313, 600, 358
In the factoring method, we have to find the divisors of all numbers
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
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 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (492, 313, 600, 358) = 1.
Given numbers are 492, 313, 600, 358
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 313 are 313
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 358 are 2 x 179
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 492, 313, 600, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 313) = 153996
GCD(492, 313) = ( 492 x 313 ) / 153996
= 492 / 313
= 492
Step2:
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
= 1 / 600
= 1
Step3:
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
= 1 / 358
= 1
So, Greatest Common Divisor of 492, 313, 600, 358 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 313, 600, 358
The greatest common divisor of numbers 492, 313, 600, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 313, 600, 358 is 1.
1. What is the GCD of 492, 313, 600, 358?
GCD of given numbers 492, 313, 600, 358 is 1
2. How to calculate the greatest common divisor of 492, 313, 600, 358?
We can find the highest common divisor of 492, 313, 600, 358 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 492, 313, 600, 358 i.e 1.
3. How can I use the GCD of 492, 313, 600, 358Calculator?
Out the numbers 492, 313, 600, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.