Online GCD Calculator is useful to find the GCD of 454, 577, 144, 420 quickly. Get the easiest ways to solve the greatest common divisor of 454, 577, 144, 420 i.e 1 in different methods as follows.
Given Input numbers are 454, 577, 144, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 454 :
The positive integer divisors of 454 that completely divides 454 are.
1, 2, 227, 454
Divisors of 577 :
The positive integer divisors of 577 that completely divides 577 are.
1, 577
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
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 (454, 577, 144, 420) = 1.
Given numbers are 454, 577, 144, 420
The list of prime factors of all numbers are
Prime factors of 454 are 2 x 227
Prime factors of 577 are 577
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
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 454, 577, 144, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(454, 577) = 261958
GCD(454, 577) = ( 454 x 577 ) / 261958
= 454 / 577
= 454
Step2:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 454, 577, 144, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 454, 577, 144, 420
The greatest common divisor of numbers 454, 577, 144, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 454, 577, 144, 420 is 1.
1. What is the GCD of 454, 577, 144, 420?
GCD of given numbers 454, 577, 144, 420 is 1
2. How to calculate the greatest common divisor of 454, 577, 144, 420?
We can find the highest common divisor of 454, 577, 144, 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 454, 577, 144, 420 i.e 1.
3. How can I use the GCD of 454, 577, 144, 420Calculator?
Out the numbers 454, 577, 144, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.