Online GCD Calculator is useful to find the GCD of 342, 180, 340, 451 quickly. Get the easiest ways to solve the greatest common divisor of 342, 180, 340, 451 i.e 1 in different methods as follows.
Given Input numbers are 342, 180, 340, 451
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 451 :
The positive integer divisors of 451 that completely divides 451 are.
1, 11, 41, 451
GCD of numbers is the greatest common divisor
So, the GCD (342, 180, 340, 451) = 1.
Given numbers are 342, 180, 340, 451
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 451 are 11 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 342, 180, 340, 451
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 180) = 3420
GCD(342, 180) = ( 342 x 180 ) / 3420
= 342 / 180
= 342
Step2:
LCM(18, 340) = 3060
GCD(18, 340) = ( 18 x 340 ) / 3060
= 18 / 340
= 18
Step3:
LCM(2, 451) = 902
GCD(2, 451) = ( 2 x 451 ) / 902
= 2 / 451
= 2
So, Greatest Common Divisor of 342, 180, 340, 451 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 180, 340, 451
The greatest common divisor of numbers 342, 180, 340, 451 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 180, 340, 451 is 1.
1. What is the GCD of 342, 180, 340, 451?
GCD of given numbers 342, 180, 340, 451 is 1
2. How to calculate the greatest common divisor of 342, 180, 340, 451?
We can find the highest common divisor of 342, 180, 340, 451 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 342, 180, 340, 451 i.e 1.
3. How can I use the GCD of 342, 180, 340, 451Calculator?
Out the numbers 342, 180, 340, 451 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.