Online GCD Calculator is useful to find the GCD of 852, 484, 493, 117 quickly. Get the easiest ways to solve the greatest common divisor of 852, 484, 493, 117 i.e 1 in different methods as follows.
Given Input numbers are 852, 484, 493, 117
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
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 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
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 (852, 484, 493, 117) = 1.
Given numbers are 852, 484, 493, 117
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 493 are 17 x 29
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 852, 484, 493, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 484) = 103092
GCD(852, 484) = ( 852 x 484 ) / 103092
= 852 / 484
= 852
Step2:
LCM(4, 493) = 1972
GCD(4, 493) = ( 4 x 493 ) / 1972
= 4 / 493
= 4
Step3:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
So, Greatest Common Divisor of 852, 484, 493, 117 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 484, 493, 117
The greatest common divisor of numbers 852, 484, 493, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 484, 493, 117 is 1.
1. What is the GCD of 852, 484, 493, 117?
GCD of given numbers 852, 484, 493, 117 is 1
2. How to calculate the greatest common divisor of 852, 484, 493, 117?
We can find the highest common divisor of 852, 484, 493, 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 852, 484, 493, 117 i.e 1.
3. How can I use the GCD of 852, 484, 493, 117Calculator?
Out the numbers 852, 484, 493, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.