Online GCD Calculator is useful to find the GCD of 823, 700, 214, 484 quickly. Get the easiest ways to solve the greatest common divisor of 823, 700, 214, 484 i.e 1 in different methods as follows.
Given Input numbers are 823, 700, 214, 484
In the factoring method, we have to find the divisors of all numbers
Divisors of 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
GCD of numbers is the greatest common divisor
So, the GCD (823, 700, 214, 484) = 1.
Given numbers are 823, 700, 214, 484
The list of prime factors of all numbers are
Prime factors of 823 are 823
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 214 are 2 x 107
Prime factors of 484 are 2 x 2 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 823, 700, 214, 484
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(823, 700) = 576100
GCD(823, 700) = ( 823 x 700 ) / 576100
= 823 / 700
= 823
Step2:
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
= 1 / 214
= 1
Step3:
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
= 1 / 484
= 1
So, Greatest Common Divisor of 823, 700, 214, 484 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 823, 700, 214, 484
The greatest common divisor of numbers 823, 700, 214, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 700, 214, 484 is 1.
1. What is the GCD of 823, 700, 214, 484?
GCD of given numbers 823, 700, 214, 484 is 1
2. How to calculate the greatest common divisor of 823, 700, 214, 484?
We can find the highest common divisor of 823, 700, 214, 484 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 823, 700, 214, 484 i.e 1.
3. How can I use the GCD of 823, 700, 214, 484Calculator?
Out the numbers 823, 700, 214, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.