Online GCD Calculator is useful to find the GCD of 209, 707, 819, 357 quickly. Get the easiest ways to solve the greatest common divisor of 209, 707, 819, 357 i.e 1 in different methods as follows.
Given Input numbers are 209, 707, 819, 357
In the factoring method, we have to find the divisors of all numbers
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
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 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (209, 707, 819, 357) = 1.
Given numbers are 209, 707, 819, 357
The list of prime factors of all numbers are
Prime factors of 209 are 11 x 19
Prime factors of 707 are 7 x 101
Prime factors of 819 are 3 x 3 x 7 x 13
Prime factors of 357 are 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 209, 707, 819, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(209, 707) = 147763
GCD(209, 707) = ( 209 x 707 ) / 147763
= 209 / 707
= 209
Step2:
LCM(1, 819) = 819
GCD(1, 819) = ( 1 x 819 ) / 819
= 1 / 819
= 1
Step3:
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
= 1 / 357
= 1
So, Greatest Common Divisor of 209, 707, 819, 357 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 209, 707, 819, 357
The greatest common divisor of numbers 209, 707, 819, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 707, 819, 357 is 1.
1. What is the GCD of 209, 707, 819, 357?
GCD of given numbers 209, 707, 819, 357 is 1
2. How to calculate the greatest common divisor of 209, 707, 819, 357?
We can find the highest common divisor of 209, 707, 819, 357 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 209, 707, 819, 357 i.e 1.
3. How can I use the GCD of 209, 707, 819, 357Calculator?
Out the numbers 209, 707, 819, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.