Online GCD Calculator is useful to find the GCD of 432, 477, 149, 820 quickly. Get the easiest ways to solve the greatest common divisor of 432, 477, 149, 820 i.e 1 in different methods as follows.
Given Input numbers are 432, 477, 149, 820
In the factoring method, we have to find the divisors of all numbers
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 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (432, 477, 149, 820) = 1.
Given numbers are 432, 477, 149, 820
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 477 are 3 x 3 x 53
Prime factors of 149 are 149
Prime factors of 820 are 2 x 2 x 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 432, 477, 149, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 477) = 22896
GCD(432, 477) = ( 432 x 477 ) / 22896
= 432 / 477
= 432
Step2:
LCM(9, 149) = 1341
GCD(9, 149) = ( 9 x 149 ) / 1341
= 9 / 149
= 9
Step3:
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
= 1 / 820
= 1
So, Greatest Common Divisor of 432, 477, 149, 820 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 477, 149, 820
The greatest common divisor of numbers 432, 477, 149, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 477, 149, 820 is 1.
1. What is the GCD of 432, 477, 149, 820?
GCD of given numbers 432, 477, 149, 820 is 1
2. How to calculate the greatest common divisor of 432, 477, 149, 820?
We can find the highest common divisor of 432, 477, 149, 820 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 432, 477, 149, 820 i.e 1.
3. How can I use the GCD of 432, 477, 149, 820Calculator?
Out the numbers 432, 477, 149, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.