Online GCD Calculator is useful to find the GCD of 852, 558, 348, 351 quickly. Get the easiest ways to solve the greatest common divisor of 852, 558, 348, 351 i.e 3 in different methods as follows.
Given Input numbers are 852, 558, 348, 351
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 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
GCD of numbers is the greatest common divisor
So, the GCD (852, 558, 348, 351) = 3.
Given numbers are 852, 558, 348, 351
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 351 are 3 x 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 852, 558, 348, 351 is 3.
Given numbers are 852, 558, 348, 351
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 558) = 79236
GCD(852, 558) = ( 852 x 558 ) / 79236
= 852 / 558
= 852
Step2:
LCM(6, 348) = 348
GCD(6, 348) = ( 6 x 348 ) / 348
= 6 / 348
= 6
Step3:
LCM(6, 351) = 702
GCD(6, 351) = ( 6 x 351 ) / 702
= 6 / 351
= 6
So, Greatest Common Divisor of 852, 558, 348, 351 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 558, 348, 351
The greatest common divisor of numbers 852, 558, 348, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 558, 348, 351 is 3.
1. What is the GCD of 852, 558, 348, 351?
GCD of given numbers 852, 558, 348, 351 is 3
2. How to calculate the greatest common divisor of 852, 558, 348, 351?
We can find the highest common divisor of 852, 558, 348, 351 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, 558, 348, 351 i.e 3.
3. How can I use the GCD of 852, 558, 348, 351Calculator?
Out the numbers 852, 558, 348, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.