Online GCD Calculator is useful to find the GCD of 118, 848, 20, 498 quickly. Get the easiest ways to solve the greatest common divisor of 118, 848, 20, 498 i.e 2 in different methods as follows.
Given Input numbers are 118, 848, 20, 498
In the factoring method, we have to find the divisors of all numbers
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
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 (118, 848, 20, 498) = 2.
Given numbers are 118, 848, 20, 498
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 20 are 2 x 2 x 5
Prime factors of 498 are 2 x 3 x 83
The highest common occurrence is 21
Therefore, GCD of 118, 848, 20, 498 is 2.
Given numbers are 118, 848, 20, 498
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 848) = 50032
GCD(118, 848) = ( 118 x 848 ) / 50032
= 118 / 848
= 118
Step2:
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
= 2 / 20
= 2
Step3:
LCM(2, 498) = 498
GCD(2, 498) = ( 2 x 498 ) / 498
= 2 / 498
= 2
So, Greatest Common Divisor of 118, 848, 20, 498 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 118, 848, 20, 498
The greatest common divisor of numbers 118, 848, 20, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 848, 20, 498 is 2.
1. What is the GCD of 118, 848, 20, 498?
GCD of given numbers 118, 848, 20, 498 is 2
2. How to calculate the greatest common divisor of 118, 848, 20, 498?
We can find the highest common divisor of 118, 848, 20, 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 118, 848, 20, 498 i.e 2.
3. How can I use the GCD of 118, 848, 20, 498Calculator?
Out the numbers 118, 848, 20, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.