Online GCD Calculator is useful to find the GCD of 116, 314, 688, 175 quickly. Get the easiest ways to solve the greatest common divisor of 116, 314, 688, 175 i.e 1 in different methods as follows.
Given Input numbers are 116, 314, 688, 175
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
GCD of numbers is the greatest common divisor
So, the GCD (116, 314, 688, 175) = 1.
Given numbers are 116, 314, 688, 175
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 314 are 2 x 157
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 175 are 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 116, 314, 688, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 314) = 18212
GCD(116, 314) = ( 116 x 314 ) / 18212
= 116 / 314
= 116
Step2:
LCM(2, 688) = 688
GCD(2, 688) = ( 2 x 688 ) / 688
= 2 / 688
= 2
Step3:
LCM(2, 175) = 350
GCD(2, 175) = ( 2 x 175 ) / 350
= 2 / 175
= 2
So, Greatest Common Divisor of 116, 314, 688, 175 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 314, 688, 175
The greatest common divisor of numbers 116, 314, 688, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 314, 688, 175 is 1.
1. What is the GCD of 116, 314, 688, 175?
GCD of given numbers 116, 314, 688, 175 is 1
2. How to calculate the greatest common divisor of 116, 314, 688, 175?
We can find the highest common divisor of 116, 314, 688, 175 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 116, 314, 688, 175 i.e 1.
3. How can I use the GCD of 116, 314, 688, 175Calculator?
Out the numbers 116, 314, 688, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.