Online GCD Calculator is useful to find the GCD of 498, 432, 203, 143 quickly. Get the easiest ways to solve the greatest common divisor of 498, 432, 203, 143 i.e 1 in different methods as follows.
Given Input numbers are 498, 432, 203, 143
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
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 203 :
The positive integer divisors of 203 that completely divides 203 are.
1, 7, 29, 203
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
GCD of numbers is the greatest common divisor
So, the GCD (498, 432, 203, 143) = 1.
Given numbers are 498, 432, 203, 143
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 203 are 7 x 29
Prime factors of 143 are 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 498, 432, 203, 143
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 432) = 35856
GCD(498, 432) = ( 498 x 432 ) / 35856
= 498 / 432
= 498
Step2:
LCM(6, 203) = 1218
GCD(6, 203) = ( 6 x 203 ) / 1218
= 6 / 203
= 6
Step3:
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
= 1 / 143
= 1
So, Greatest Common Divisor of 498, 432, 203, 143 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 432, 203, 143
The greatest common divisor of numbers 498, 432, 203, 143 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 432, 203, 143 is 1.
1. What is the GCD of 498, 432, 203, 143?
GCD of given numbers 498, 432, 203, 143 is 1
2. How to calculate the greatest common divisor of 498, 432, 203, 143?
We can find the highest common divisor of 498, 432, 203, 143 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 498, 432, 203, 143 i.e 1.
3. How can I use the GCD of 498, 432, 203, 143Calculator?
Out the numbers 498, 432, 203, 143 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.