Online GCD Calculator is useful to find the GCD of 270, 102, 343, 434 quickly. Get the easiest ways to solve the greatest common divisor of 270, 102, 343, 434 i.e 1 in different methods as follows.
Given Input numbers are 270, 102, 343, 434
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 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
GCD of numbers is the greatest common divisor
So, the GCD (270, 102, 343, 434) = 1.
Given numbers are 270, 102, 343, 434
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 102 are 2 x 3 x 17
Prime factors of 343 are 7 x 7 x 7
Prime factors of 434 are 2 x 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 102, 343, 434
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 102) = 4590
GCD(270, 102) = ( 270 x 102 ) / 4590
= 270 / 102
= 270
Step2:
LCM(6, 343) = 2058
GCD(6, 343) = ( 6 x 343 ) / 2058
= 6 / 343
= 6
Step3:
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
= 1 / 434
= 1
So, Greatest Common Divisor of 270, 102, 343, 434 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 102, 343, 434
The greatest common divisor of numbers 270, 102, 343, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 102, 343, 434 is 1.
1. What is the GCD of 270, 102, 343, 434?
GCD of given numbers 270, 102, 343, 434 is 1
2. How to calculate the greatest common divisor of 270, 102, 343, 434?
We can find the highest common divisor of 270, 102, 343, 434 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, 102, 343, 434 i.e 1.
3. How can I use the GCD of 270, 102, 343, 434Calculator?
Out the numbers 270, 102, 343, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.