Online GCD Calculator is useful to find the GCD of 159, 745, 196, 200 quickly. Get the easiest ways to solve the greatest common divisor of 159, 745, 196, 200 i.e 1 in different methods as follows.
Given Input numbers are 159, 745, 196, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
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 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (159, 745, 196, 200) = 1.
Given numbers are 159, 745, 196, 200
The list of prime factors of all numbers are
Prime factors of 159 are 3 x 53
Prime factors of 745 are 5 x 149
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 159, 745, 196, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(159, 745) = 118455
GCD(159, 745) = ( 159 x 745 ) / 118455
= 159 / 745
= 159
Step2:
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
= 1 / 196
= 1
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 159, 745, 196, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 159, 745, 196, 200
The greatest common divisor of numbers 159, 745, 196, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 745, 196, 200 is 1.
1. What is the GCD of 159, 745, 196, 200?
GCD of given numbers 159, 745, 196, 200 is 1
2. How to calculate the greatest common divisor of 159, 745, 196, 200?
We can find the highest common divisor of 159, 745, 196, 200 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 159, 745, 196, 200 i.e 1.
3. How can I use the GCD of 159, 745, 196, 200Calculator?
Out the numbers 159, 745, 196, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.