Online GCD Calculator is useful to find the GCD of 492, 343, 912, 270 quickly. Get the easiest ways to solve the greatest common divisor of 492, 343, 912, 270 i.e 1 in different methods as follows.
Given Input numbers are 492, 343, 912, 270
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 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (492, 343, 912, 270) = 1.
Given numbers are 492, 343, 912, 270
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 343 are 7 x 7 x 7
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 492, 343, 912, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 343) = 168756
GCD(492, 343) = ( 492 x 343 ) / 168756
= 492 / 343
= 492
Step2:
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
= 1 / 912
= 1
Step3:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
So, Greatest Common Divisor of 492, 343, 912, 270 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 343, 912, 270
The greatest common divisor of numbers 492, 343, 912, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 343, 912, 270 is 1.
1. What is the GCD of 492, 343, 912, 270?
GCD of given numbers 492, 343, 912, 270 is 1
2. How to calculate the greatest common divisor of 492, 343, 912, 270?
We can find the highest common divisor of 492, 343, 912, 270 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, 343, 912, 270 i.e 1.
3. How can I use the GCD of 492, 343, 912, 270Calculator?
Out the numbers 492, 343, 912, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.