Online GCD Calculator is useful to find the GCD of 456, 888, 143, 420 quickly. Get the easiest ways to solve the greatest common divisor of 456, 888, 143, 420 i.e 1 in different methods as follows.
Given Input numbers are 456, 888, 143, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (456, 888, 143, 420) = 1.
Given numbers are 456, 888, 143, 420
The list of prime factors of all numbers are
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 143 are 11 x 13
Prime factors of 420 are 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 456, 888, 143, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(456, 888) = 16872
GCD(456, 888) = ( 456 x 888 ) / 16872
= 456 / 888
= 456
Step2:
LCM(24, 143) = 3432
GCD(24, 143) = ( 24 x 143 ) / 3432
= 24 / 143
= 24
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 456, 888, 143, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 456, 888, 143, 420
The greatest common divisor of numbers 456, 888, 143, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 888, 143, 420 is 1.
1. What is the GCD of 456, 888, 143, 420?
GCD of given numbers 456, 888, 143, 420 is 1
2. How to calculate the greatest common divisor of 456, 888, 143, 420?
We can find the highest common divisor of 456, 888, 143, 420 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 456, 888, 143, 420 i.e 1.
3. How can I use the GCD of 456, 888, 143, 420Calculator?
Out the numbers 456, 888, 143, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.