Online GCD Calculator is useful to find the GCD of 523, 877, 272, 420 quickly. Get the easiest ways to solve the greatest common divisor of 523, 877, 272, 420 i.e 1 in different methods as follows.
Given Input numbers are 523, 877, 272, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 523 :
The positive integer divisors of 523 that completely divides 523 are.
1, 523
Divisors of 877 :
The positive integer divisors of 877 that completely divides 877 are.
1, 877
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
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 (523, 877, 272, 420) = 1.
Given numbers are 523, 877, 272, 420
The list of prime factors of all numbers are
Prime factors of 523 are 523
Prime factors of 877 are 877
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
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 523, 877, 272, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(523, 877) = 458671
GCD(523, 877) = ( 523 x 877 ) / 458671
= 523 / 877
= 523
Step2:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 523, 877, 272, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 523, 877, 272, 420
The greatest common divisor of numbers 523, 877, 272, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 523, 877, 272, 420 is 1.
1. What is the GCD of 523, 877, 272, 420?
GCD of given numbers 523, 877, 272, 420 is 1
2. How to calculate the greatest common divisor of 523, 877, 272, 420?
We can find the highest common divisor of 523, 877, 272, 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 523, 877, 272, 420 i.e 1.
3. How can I use the GCD of 523, 877, 272, 420Calculator?
Out the numbers 523, 877, 272, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.