Online GCD Calculator is useful to find the GCD of 492, 258, 770, 460 quickly. Get the easiest ways to solve the greatest common divisor of 492, 258, 770, 460 i.e 2 in different methods as follows.
Given Input numbers are 492, 258, 770, 460
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 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
GCD of numbers is the greatest common divisor
So, the GCD (492, 258, 770, 460) = 2.
Given numbers are 492, 258, 770, 460
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 258 are 2 x 3 x 43
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 460 are 2 x 2 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 492, 258, 770, 460 is 2.
Given numbers are 492, 258, 770, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 258) = 21156
GCD(492, 258) = ( 492 x 258 ) / 21156
= 492 / 258
= 492
Step2:
LCM(6, 770) = 2310
GCD(6, 770) = ( 6 x 770 ) / 2310
= 6 / 770
= 6
Step3:
LCM(2, 460) = 460
GCD(2, 460) = ( 2 x 460 ) / 460
= 2 / 460
= 2
So, Greatest Common Divisor of 492, 258, 770, 460 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 258, 770, 460
The greatest common divisor of numbers 492, 258, 770, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 258, 770, 460 is 2.
1. What is the GCD of 492, 258, 770, 460?
GCD of given numbers 492, 258, 770, 460 is 2
2. How to calculate the greatest common divisor of 492, 258, 770, 460?
We can find the highest common divisor of 492, 258, 770, 460 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, 258, 770, 460 i.e 2.
3. How can I use the GCD of 492, 258, 770, 460Calculator?
Out the numbers 492, 258, 770, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.