Online GCD Calculator is useful to find the GCD of 270, 992, 422, 348 quickly. Get the easiest ways to solve the greatest common divisor of 270, 992, 422, 348 i.e 2 in different methods as follows.
Given Input numbers are 270, 992, 422, 348
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
GCD of numbers is the greatest common divisor
So, the GCD (270, 992, 422, 348) = 2.
Given numbers are 270, 992, 422, 348
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 422 are 2 x 211
Prime factors of 348 are 2 x 2 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 270, 992, 422, 348 is 2.
Given numbers are 270, 992, 422, 348
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 992) = 133920
GCD(270, 992) = ( 270 x 992 ) / 133920
= 270 / 992
= 270
Step2:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
Step3:
LCM(2, 348) = 348
GCD(2, 348) = ( 2 x 348 ) / 348
= 2 / 348
= 2
So, Greatest Common Divisor of 270, 992, 422, 348 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 992, 422, 348
The greatest common divisor of numbers 270, 992, 422, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 992, 422, 348 is 2.
1. What is the GCD of 270, 992, 422, 348?
GCD of given numbers 270, 992, 422, 348 is 2
2. How to calculate the greatest common divisor of 270, 992, 422, 348?
We can find the highest common divisor of 270, 992, 422, 348 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 270, 992, 422, 348 i.e 2.
3. How can I use the GCD of 270, 992, 422, 348Calculator?
Out the numbers 270, 992, 422, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.