Online GCD Calculator is useful to find the GCD of 709, 214, 123, 700 quickly. Get the easiest ways to solve the greatest common divisor of 709, 214, 123, 700 i.e 1 in different methods as follows.
Given Input numbers are 709, 214, 123, 700
In the factoring method, we have to find the divisors of all numbers
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
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
GCD of numbers is the greatest common divisor
So, the GCD (709, 214, 123, 700) = 1.
Given numbers are 709, 214, 123, 700
The list of prime factors of all numbers are
Prime factors of 709 are 709
Prime factors of 214 are 2 x 107
Prime factors of 123 are 3 x 41
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 709, 214, 123, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(709, 214) = 151726
GCD(709, 214) = ( 709 x 214 ) / 151726
= 709 / 214
= 709
Step2:
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
= 1 / 123
= 1
Step3:
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
= 1 / 700
= 1
So, Greatest Common Divisor of 709, 214, 123, 700 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 709, 214, 123, 700
The greatest common divisor of numbers 709, 214, 123, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 709, 214, 123, 700 is 1.
1. What is the GCD of 709, 214, 123, 700?
GCD of given numbers 709, 214, 123, 700 is 1
2. How to calculate the greatest common divisor of 709, 214, 123, 700?
We can find the highest common divisor of 709, 214, 123, 700 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 709, 214, 123, 700 i.e 1.
3. How can I use the GCD of 709, 214, 123, 700Calculator?
Out the numbers 709, 214, 123, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.