Online GCD Calculator is useful to find the GCD of 484, 112, 119, 117 quickly. Get the easiest ways to solve the greatest common divisor of 484, 112, 119, 117 i.e 1 in different methods as follows.
Given Input numbers are 484, 112, 119, 117
In the factoring method, we have to find the divisors of all numbers
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (484, 112, 119, 117) = 1.
Given numbers are 484, 112, 119, 117
The list of prime factors of all numbers are
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 119 are 7 x 17
Prime factors of 117 are 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 484, 112, 119, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(484, 112) = 13552
GCD(484, 112) = ( 484 x 112 ) / 13552
= 484 / 112
= 484
Step2:
LCM(4, 119) = 476
GCD(4, 119) = ( 4 x 119 ) / 476
= 4 / 119
= 4
Step3:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
So, Greatest Common Divisor of 484, 112, 119, 117 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 484, 112, 119, 117
The greatest common divisor of numbers 484, 112, 119, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 112, 119, 117 is 1.
1. What is the GCD of 484, 112, 119, 117?
GCD of given numbers 484, 112, 119, 117 is 1
2. How to calculate the greatest common divisor of 484, 112, 119, 117?
We can find the highest common divisor of 484, 112, 119, 117 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 484, 112, 119, 117 i.e 1.
3. How can I use the GCD of 484, 112, 119, 117Calculator?
Out the numbers 484, 112, 119, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.