Online GCD Calculator is useful to find the GCD of 323, 118, 432, 840 quickly. Get the easiest ways to solve the greatest common divisor of 323, 118, 432, 840 i.e 1 in different methods as follows.
Given Input numbers are 323, 118, 432, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 323 :
The positive integer divisors of 323 that completely divides 323 are.
1, 17, 19, 323
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (323, 118, 432, 840) = 1.
Given numbers are 323, 118, 432, 840
The list of prime factors of all numbers are
Prime factors of 323 are 17 x 19
Prime factors of 118 are 2 x 59
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 323, 118, 432, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(323, 118) = 38114
GCD(323, 118) = ( 323 x 118 ) / 38114
= 323 / 118
= 323
Step2:
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
= 1 / 432
= 1
Step3:
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
= 1 / 840
= 1
So, Greatest Common Divisor of 323, 118, 432, 840 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 323, 118, 432, 840
The greatest common divisor of numbers 323, 118, 432, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 323, 118, 432, 840 is 1.
1. What is the GCD of 323, 118, 432, 840?
GCD of given numbers 323, 118, 432, 840 is 1
2. How to calculate the greatest common divisor of 323, 118, 432, 840?
We can find the highest common divisor of 323, 118, 432, 840 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 323, 118, 432, 840 i.e 1.
3. How can I use the GCD of 323, 118, 432, 840Calculator?
Out the numbers 323, 118, 432, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.