Online GCD Calculator is useful to find the GCD of 420, 333, 157, 144 quickly. Get the easiest ways to solve the greatest common divisor of 420, 333, 157, 144 i.e 1 in different methods as follows.
Given Input numbers are 420, 333, 157, 144
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 333 :
The positive integer divisors of 333 that completely divides 333 are.
1, 3, 9, 37, 111, 333
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (420, 333, 157, 144) = 1.
Given numbers are 420, 333, 157, 144
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 333 are 3 x 3 x 37
Prime factors of 157 are 157
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 333, 157, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 333) = 46620
GCD(420, 333) = ( 420 x 333 ) / 46620
= 420 / 333
= 420
Step2:
LCM(3, 157) = 471
GCD(3, 157) = ( 3 x 157 ) / 471
= 3 / 157
= 3
Step3:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
So, Greatest Common Divisor of 420, 333, 157, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 333, 157, 144
The greatest common divisor of numbers 420, 333, 157, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 333, 157, 144 is 1.
1. What is the GCD of 420, 333, 157, 144?
GCD of given numbers 420, 333, 157, 144 is 1
2. How to calculate the greatest common divisor of 420, 333, 157, 144?
We can find the highest common divisor of 420, 333, 157, 144 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 420, 333, 157, 144 i.e 1.
3. How can I use the GCD of 420, 333, 157, 144Calculator?
Out the numbers 420, 333, 157, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.