Online GCD Calculator is useful to find the GCD of 486, 600, 800, 141 quickly. Get the easiest ways to solve the greatest common divisor of 486, 600, 800, 141 i.e 1 in different methods as follows.
Given Input numbers are 486, 600, 800, 141
In the factoring method, we have to find the divisors of all numbers
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
GCD of numbers is the greatest common divisor
So, the GCD (486, 600, 800, 141) = 1.
Given numbers are 486, 600, 800, 141
The list of prime factors of all numbers are
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 141 are 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 486, 600, 800, 141
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(486, 600) = 48600
GCD(486, 600) = ( 486 x 600 ) / 48600
= 486 / 600
= 486
Step2:
LCM(6, 800) = 2400
GCD(6, 800) = ( 6 x 800 ) / 2400
= 6 / 800
= 6
Step3:
LCM(2, 141) = 282
GCD(2, 141) = ( 2 x 141 ) / 282
= 2 / 141
= 2
So, Greatest Common Divisor of 486, 600, 800, 141 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 486, 600, 800, 141
The greatest common divisor of numbers 486, 600, 800, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 600, 800, 141 is 1.
1. What is the GCD of 486, 600, 800, 141?
GCD of given numbers 486, 600, 800, 141 is 1
2. How to calculate the greatest common divisor of 486, 600, 800, 141?
We can find the highest common divisor of 486, 600, 800, 141 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 486, 600, 800, 141 i.e 1.
3. How can I use the GCD of 486, 600, 800, 141Calculator?
Out the numbers 486, 600, 800, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.