Online GCD Calculator is useful to find the GCD of 196, 100, 513, 559 quickly. Get the easiest ways to solve the greatest common divisor of 196, 100, 513, 559 i.e 1 in different methods as follows.
Given Input numbers are 196, 100, 513, 559
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 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
GCD of numbers is the greatest common divisor
So, the GCD (196, 100, 513, 559) = 1.
Given numbers are 196, 100, 513, 559
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 559 are 13 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 196, 100, 513, 559
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 100) = 4900
GCD(196, 100) = ( 196 x 100 ) / 4900
= 196 / 100
= 196
Step2:
LCM(4, 513) = 2052
GCD(4, 513) = ( 4 x 513 ) / 2052
= 4 / 513
= 4
Step3:
LCM(1, 559) = 559
GCD(1, 559) = ( 1 x 559 ) / 559
= 1 / 559
= 1
So, Greatest Common Divisor of 196, 100, 513, 559 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 100, 513, 559
The greatest common divisor of numbers 196, 100, 513, 559 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 100, 513, 559 is 1.
1. What is the GCD of 196, 100, 513, 559?
GCD of given numbers 196, 100, 513, 559 is 1
2. How to calculate the greatest common divisor of 196, 100, 513, 559?
We can find the highest common divisor of 196, 100, 513, 559 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, 100, 513, 559 i.e 1.
3. How can I use the GCD of 196, 100, 513, 559Calculator?
Out the numbers 196, 100, 513, 559 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.