Online GCD Calculator is useful to find the GCD of 116, 690, 912, 271 quickly. Get the easiest ways to solve the greatest common divisor of 116, 690, 912, 271 i.e 1 in different methods as follows.
Given Input numbers are 116, 690, 912, 271
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 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
GCD of numbers is the greatest common divisor
So, the GCD (116, 690, 912, 271) = 1.
Given numbers are 116, 690, 912, 271
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 271 are 271
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 116, 690, 912, 271
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 690) = 40020
GCD(116, 690) = ( 116 x 690 ) / 40020
= 116 / 690
= 116
Step2:
LCM(2, 912) = 912
GCD(2, 912) = ( 2 x 912 ) / 912
= 2 / 912
= 2
Step3:
LCM(2, 271) = 542
GCD(2, 271) = ( 2 x 271 ) / 542
= 2 / 271
= 2
So, Greatest Common Divisor of 116, 690, 912, 271 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 690, 912, 271
The greatest common divisor of numbers 116, 690, 912, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 690, 912, 271 is 1.
1. What is the GCD of 116, 690, 912, 271?
GCD of given numbers 116, 690, 912, 271 is 1
2. How to calculate the greatest common divisor of 116, 690, 912, 271?
We can find the highest common divisor of 116, 690, 912, 271 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, 690, 912, 271 i.e 1.
3. How can I use the GCD of 116, 690, 912, 271Calculator?
Out the numbers 116, 690, 912, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.