Online GCD Calculator is useful to find the GCD of 852, 104, 748, 498 quickly. Get the easiest ways to solve the greatest common divisor of 852, 104, 748, 498 i.e 2 in different methods as follows.
Given Input numbers are 852, 104, 748, 498
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 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
GCD of numbers is the greatest common divisor
So, the GCD (852, 104, 748, 498) = 2.
Given numbers are 852, 104, 748, 498
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 498 are 2 x 3 x 83
The highest common occurrence is 21
Therefore, GCD of 852, 104, 748, 498 is 2.
Given numbers are 852, 104, 748, 498
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 104) = 22152
GCD(852, 104) = ( 852 x 104 ) / 22152
= 852 / 104
= 852
Step2:
LCM(4, 748) = 748
GCD(4, 748) = ( 4 x 748 ) / 748
= 4 / 748
= 4
Step3:
LCM(4, 498) = 996
GCD(4, 498) = ( 4 x 498 ) / 996
= 4 / 498
= 4
So, Greatest Common Divisor of 852, 104, 748, 498 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 104, 748, 498
The greatest common divisor of numbers 852, 104, 748, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 104, 748, 498 is 2.
1. What is the GCD of 852, 104, 748, 498?
GCD of given numbers 852, 104, 748, 498 is 2
2. How to calculate the greatest common divisor of 852, 104, 748, 498?
We can find the highest common divisor of 852, 104, 748, 498 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, 104, 748, 498 i.e 2.
3. How can I use the GCD of 852, 104, 748, 498Calculator?
Out the numbers 852, 104, 748, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.