Online GCD Calculator is useful to find the GCD of 196, 287, 207, 355 quickly. Get the easiest ways to solve the greatest common divisor of 196, 287, 207, 355 i.e 1 in different methods as follows.
Given Input numbers are 196, 287, 207, 355
In the factoring method, we have to find the divisors of all numbers
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 287 :
The positive integer divisors of 287 that completely divides 287 are.
1, 7, 41, 287
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (196, 287, 207, 355) = 1.
Given numbers are 196, 287, 207, 355
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 287 are 7 x 41
Prime factors of 207 are 3 x 3 x 23
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 196, 287, 207, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 287) = 8036
GCD(196, 287) = ( 196 x 287 ) / 8036
= 196 / 287
= 196
Step2:
LCM(7, 207) = 1449
GCD(7, 207) = ( 7 x 207 ) / 1449
= 7 / 207
= 7
Step3:
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
= 1 / 355
= 1
So, Greatest Common Divisor of 196, 287, 207, 355 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 287, 207, 355
The greatest common divisor of numbers 196, 287, 207, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 287, 207, 355 is 1.
1. What is the GCD of 196, 287, 207, 355?
GCD of given numbers 196, 287, 207, 355 is 1
2. How to calculate the greatest common divisor of 196, 287, 207, 355?
We can find the highest common divisor of 196, 287, 207, 355 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 196, 287, 207, 355 i.e 1.
3. How can I use the GCD of 196, 287, 207, 355Calculator?
Out the numbers 196, 287, 207, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.