Online GCD Calculator is useful to find the GCD of 492, 902, 946, 318 quickly. Get the easiest ways to solve the greatest common divisor of 492, 902, 946, 318 i.e 2 in different methods as follows.
Given Input numbers are 492, 902, 946, 318
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 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
GCD of numbers is the greatest common divisor
So, the GCD (492, 902, 946, 318) = 2.
Given numbers are 492, 902, 946, 318
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 902 are 2 x 11 x 41
Prime factors of 946 are 2 x 11 x 43
Prime factors of 318 are 2 x 3 x 53
The highest common occurrence is 21
Therefore, GCD of 492, 902, 946, 318 is 2.
Given numbers are 492, 902, 946, 318
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 902) = 5412
GCD(492, 902) = ( 492 x 902 ) / 5412
= 492 / 902
= 492
Step2:
LCM(82, 946) = 38786
GCD(82, 946) = ( 82 x 946 ) / 38786
= 82 / 946
= 82
Step3:
LCM(2, 318) = 318
GCD(2, 318) = ( 2 x 318 ) / 318
= 2 / 318
= 2
So, Greatest Common Divisor of 492, 902, 946, 318 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 902, 946, 318
The greatest common divisor of numbers 492, 902, 946, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 902, 946, 318 is 2.
1. What is the GCD of 492, 902, 946, 318?
GCD of given numbers 492, 902, 946, 318 is 2
2. How to calculate the greatest common divisor of 492, 902, 946, 318?
We can find the highest common divisor of 492, 902, 946, 318 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, 902, 946, 318 i.e 2.
3. How can I use the GCD of 492, 902, 946, 318Calculator?
Out the numbers 492, 902, 946, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.