Online GCD Calculator is useful to find the GCD of 109, 918, 277, 464 quickly. Get the easiest ways to solve the greatest common divisor of 109, 918, 277, 464 i.e 1 in different methods as follows.
Given Input numbers are 109, 918, 277, 464
In the factoring method, we have to find the divisors of all numbers
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 277 :
The positive integer divisors of 277 that completely divides 277 are.
1, 277
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
GCD of numbers is the greatest common divisor
So, the GCD (109, 918, 277, 464) = 1.
Given numbers are 109, 918, 277, 464
The list of prime factors of all numbers are
Prime factors of 109 are 109
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 277 are 277
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 109, 918, 277, 464
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(109, 918) = 100062
GCD(109, 918) = ( 109 x 918 ) / 100062
= 109 / 918
= 109
Step2:
LCM(1, 277) = 277
GCD(1, 277) = ( 1 x 277 ) / 277
= 1 / 277
= 1
Step3:
LCM(1, 464) = 464
GCD(1, 464) = ( 1 x 464 ) / 464
= 1 / 464
= 1
So, Greatest Common Divisor of 109, 918, 277, 464 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 109, 918, 277, 464
The greatest common divisor of numbers 109, 918, 277, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 918, 277, 464 is 1.
1. What is the GCD of 109, 918, 277, 464?
GCD of given numbers 109, 918, 277, 464 is 1
2. How to calculate the greatest common divisor of 109, 918, 277, 464?
We can find the highest common divisor of 109, 918, 277, 464 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 109, 918, 277, 464 i.e 1.
3. How can I use the GCD of 109, 918, 277, 464Calculator?
Out the numbers 109, 918, 277, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.