Online GCD Calculator is useful to find the GCD of 674, 471, 114, 116 quickly. Get the easiest ways to solve the greatest common divisor of 674, 471, 114, 116 i.e 1 in different methods as follows.
Given Input numbers are 674, 471, 114, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (674, 471, 114, 116) = 1.
Given numbers are 674, 471, 114, 116
The list of prime factors of all numbers are
Prime factors of 674 are 2 x 337
Prime factors of 471 are 3 x 157
Prime factors of 114 are 2 x 3 x 19
Prime factors of 116 are 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 674, 471, 114, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(674, 471) = 317454
GCD(674, 471) = ( 674 x 471 ) / 317454
= 674 / 471
= 674
Step2:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
Step3:
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
= 1 / 116
= 1
So, Greatest Common Divisor of 674, 471, 114, 116 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 674, 471, 114, 116
The greatest common divisor of numbers 674, 471, 114, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 471, 114, 116 is 1.
1. What is the GCD of 674, 471, 114, 116?
GCD of given numbers 674, 471, 114, 116 is 1
2. How to calculate the greatest common divisor of 674, 471, 114, 116?
We can find the highest common divisor of 674, 471, 114, 116 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 674, 471, 114, 116 i.e 1.
3. How can I use the GCD of 674, 471, 114, 116Calculator?
Out the numbers 674, 471, 114, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.