Online GCD Calculator is useful to find the GCD of 700, 819, 684, 123 quickly. Get the easiest ways to solve the greatest common divisor of 700, 819, 684, 123 i.e 1 in different methods as follows.
Given Input numbers are 700, 819, 684, 123
In the factoring method, we have to find the divisors of all numbers
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 819 :
The positive integer divisors of 819 that completely divides 819 are.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
GCD of numbers is the greatest common divisor
So, the GCD (700, 819, 684, 123) = 1.
Given numbers are 700, 819, 684, 123
The list of prime factors of all numbers are
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 819 are 3 x 3 x 7 x 13
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 123 are 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 700, 819, 684, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 819) = 81900
GCD(700, 819) = ( 700 x 819 ) / 81900
= 700 / 819
= 700
Step2:
LCM(7, 684) = 4788
GCD(7, 684) = ( 7 x 684 ) / 4788
= 7 / 684
= 7
Step3:
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
= 1 / 123
= 1
So, Greatest Common Divisor of 700, 819, 684, 123 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 819, 684, 123
The greatest common divisor of numbers 700, 819, 684, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 819, 684, 123 is 1.
1. What is the GCD of 700, 819, 684, 123?
GCD of given numbers 700, 819, 684, 123 is 1
2. How to calculate the greatest common divisor of 700, 819, 684, 123?
We can find the highest common divisor of 700, 819, 684, 123 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 700, 819, 684, 123 i.e 1.
3. How can I use the GCD of 700, 819, 684, 123Calculator?
Out the numbers 700, 819, 684, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.