Online GCD Calculator is useful to find the GCD of 852, 622, 516, 118 quickly. Get the easiest ways to solve the greatest common divisor of 852, 622, 516, 118 i.e 2 in different methods as follows.
Given Input numbers are 852, 622, 516, 118
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 622 :
The positive integer divisors of 622 that completely divides 622 are.
1, 2, 311, 622
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
GCD of numbers is the greatest common divisor
So, the GCD (852, 622, 516, 118) = 2.
Given numbers are 852, 622, 516, 118
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 622 are 2 x 311
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 118 are 2 x 59
The highest common occurrence is 21
Therefore, GCD of 852, 622, 516, 118 is 2.
Given numbers are 852, 622, 516, 118
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 622) = 264972
GCD(852, 622) = ( 852 x 622 ) / 264972
= 852 / 622
= 852
Step2:
LCM(2, 516) = 516
GCD(2, 516) = ( 2 x 516 ) / 516
= 2 / 516
= 2
Step3:
LCM(2, 118) = 118
GCD(2, 118) = ( 2 x 118 ) / 118
= 2 / 118
= 2
So, Greatest Common Divisor of 852, 622, 516, 118 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 622, 516, 118
The greatest common divisor of numbers 852, 622, 516, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 622, 516, 118 is 2.
1. What is the GCD of 852, 622, 516, 118?
GCD of given numbers 852, 622, 516, 118 is 2
2. How to calculate the greatest common divisor of 852, 622, 516, 118?
We can find the highest common divisor of 852, 622, 516, 118 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, 622, 516, 118 i.e 2.
3. How can I use the GCD of 852, 622, 516, 118Calculator?
Out the numbers 852, 622, 516, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.