Online GCD Calculator is useful to find the GCD of 446, 138, 143, 824 quickly. Get the easiest ways to solve the greatest common divisor of 446, 138, 143, 824 i.e 1 in different methods as follows.
Given Input numbers are 446, 138, 143, 824
In the factoring method, we have to find the divisors of all numbers
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (446, 138, 143, 824) = 1.
Given numbers are 446, 138, 143, 824
The list of prime factors of all numbers are
Prime factors of 446 are 2 x 223
Prime factors of 138 are 2 x 3 x 23
Prime factors of 143 are 11 x 13
Prime factors of 824 are 2 x 2 x 2 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 446, 138, 143, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(446, 138) = 30774
GCD(446, 138) = ( 446 x 138 ) / 30774
= 446 / 138
= 446
Step2:
LCM(2, 143) = 286
GCD(2, 143) = ( 2 x 143 ) / 286
= 2 / 143
= 2
Step3:
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
= 1 / 824
= 1
So, Greatest Common Divisor of 446, 138, 143, 824 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 446, 138, 143, 824
The greatest common divisor of numbers 446, 138, 143, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 446, 138, 143, 824 is 1.
1. What is the GCD of 446, 138, 143, 824?
GCD of given numbers 446, 138, 143, 824 is 1
2. How to calculate the greatest common divisor of 446, 138, 143, 824?
We can find the highest common divisor of 446, 138, 143, 824 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 446, 138, 143, 824 i.e 1.
3. How can I use the GCD of 446, 138, 143, 824Calculator?
Out the numbers 446, 138, 143, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.