Online GCD Calculator is useful to find the GCD of 196, 420, 83, 199 quickly. Get the easiest ways to solve the greatest common divisor of 196, 420, 83, 199 i.e 1 in different methods as follows.
Given Input numbers are 196, 420, 83, 199
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 83 :
The positive integer divisors of 83 that completely divides 83 are.
1, 83
Divisors of 199 :
The positive integer divisors of 199 that completely divides 199 are.
1, 199
GCD of numbers is the greatest common divisor
So, the GCD (196, 420, 83, 199) = 1.
Given numbers are 196, 420, 83, 199
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 83 are 83
Prime factors of 199 are 199
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 196, 420, 83, 199
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 420) = 2940
GCD(196, 420) = ( 196 x 420 ) / 2940
= 196 / 420
= 196
Step2:
LCM(28, 83) = 2324
GCD(28, 83) = ( 28 x 83 ) / 2324
= 28 / 83
= 28
Step3:
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
= 1 / 199
= 1
So, Greatest Common Divisor of 196, 420, 83, 199 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 420, 83, 199
The greatest common divisor of numbers 196, 420, 83, 199 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 420, 83, 199 is 1.
1. What is the GCD of 196, 420, 83, 199?
GCD of given numbers 196, 420, 83, 199 is 1
2. How to calculate the greatest common divisor of 196, 420, 83, 199?
We can find the highest common divisor of 196, 420, 83, 199 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, 420, 83, 199 i.e 1.
3. How can I use the GCD of 196, 420, 83, 199Calculator?
Out the numbers 196, 420, 83, 199 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.