Online GCD Calculator is useful to find the GCD of 462, 735, 898, 180 quickly. Get the easiest ways to solve the greatest common divisor of 462, 735, 898, 180 i.e 1 in different methods as follows.
Given Input numbers are 462, 735, 898, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
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
GCD of numbers is the greatest common divisor
So, the GCD (462, 735, 898, 180) = 1.
Given numbers are 462, 735, 898, 180
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 898 are 2 x 449
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 462, 735, 898, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 735) = 16170
GCD(462, 735) = ( 462 x 735 ) / 16170
= 462 / 735
= 462
Step2:
LCM(21, 898) = 18858
GCD(21, 898) = ( 21 x 898 ) / 18858
= 21 / 898
= 21
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 462, 735, 898, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 735, 898, 180
The greatest common divisor of numbers 462, 735, 898, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 735, 898, 180 is 1.
1. What is the GCD of 462, 735, 898, 180?
GCD of given numbers 462, 735, 898, 180 is 1
2. How to calculate the greatest common divisor of 462, 735, 898, 180?
We can find the highest common divisor of 462, 735, 898, 180 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 462, 735, 898, 180 i.e 1.
3. How can I use the GCD of 462, 735, 898, 180Calculator?
Out the numbers 462, 735, 898, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.