Online GCD Calculator is useful to find the GCD of 905, 429, 821, 420 quickly. Get the easiest ways to solve the greatest common divisor of 905, 429, 821, 420 i.e 1 in different methods as follows.
Given Input numbers are 905, 429, 821, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 905 :
The positive integer divisors of 905 that completely divides 905 are.
1, 5, 181, 905
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
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 (905, 429, 821, 420) = 1.
Given numbers are 905, 429, 821, 420
The list of prime factors of all numbers are
Prime factors of 905 are 5 x 181
Prime factors of 429 are 3 x 11 x 13
Prime factors of 821 are 821
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 905, 429, 821, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(905, 429) = 388245
GCD(905, 429) = ( 905 x 429 ) / 388245
= 905 / 429
= 905
Step2:
LCM(1, 821) = 821
GCD(1, 821) = ( 1 x 821 ) / 821
= 1 / 821
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 905, 429, 821, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 905, 429, 821, 420
The greatest common divisor of numbers 905, 429, 821, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 905, 429, 821, 420 is 1.
1. What is the GCD of 905, 429, 821, 420?
GCD of given numbers 905, 429, 821, 420 is 1
2. How to calculate the greatest common divisor of 905, 429, 821, 420?
We can find the highest common divisor of 905, 429, 821, 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 905, 429, 821, 420 i.e 1.
3. How can I use the GCD of 905, 429, 821, 420Calculator?
Out the numbers 905, 429, 821, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.