Online GCD Calculator is useful to find the GCD of 117, 734, 200, 311 quickly. Get the easiest ways to solve the greatest common divisor of 117, 734, 200, 311 i.e 1 in different methods as follows.
Given Input numbers are 117, 734, 200, 311
In the factoring method, we have to find the divisors of all numbers
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
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
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
GCD of numbers is the greatest common divisor
So, the GCD (117, 734, 200, 311) = 1.
Given numbers are 117, 734, 200, 311
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 734 are 2 x 367
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 311 are 311
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 117, 734, 200, 311
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 734) = 85878
GCD(117, 734) = ( 117 x 734 ) / 85878
= 117 / 734
= 117
Step2:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
Step3:
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
= 1 / 311
= 1
So, Greatest Common Divisor of 117, 734, 200, 311 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 734, 200, 311
The greatest common divisor of numbers 117, 734, 200, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 734, 200, 311 is 1.
1. What is the GCD of 117, 734, 200, 311?
GCD of given numbers 117, 734, 200, 311 is 1
2. How to calculate the greatest common divisor of 117, 734, 200, 311?
We can find the highest common divisor of 117, 734, 200, 311 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 117, 734, 200, 311 i.e 1.
3. How can I use the GCD of 117, 734, 200, 311Calculator?
Out the numbers 117, 734, 200, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.