Online GCD Calculator is useful to find the GCD of 350, 112, 118, 498 quickly. Get the easiest ways to solve the greatest common divisor of 350, 112, 118, 498 i.e 2 in different methods as follows.
Given Input numbers are 350, 112, 118, 498
In the factoring method, we have to find the divisors of all numbers
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
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 (350, 112, 118, 498) = 2.
Given numbers are 350, 112, 118, 498
The list of prime factors of all numbers are
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 118 are 2 x 59
Prime factors of 498 are 2 x 3 x 83
The highest common occurrence is 21
Therefore, GCD of 350, 112, 118, 498 is 2.
Given numbers are 350, 112, 118, 498
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(350, 112) = 2800
GCD(350, 112) = ( 350 x 112 ) / 2800
= 350 / 112
= 350
Step2:
LCM(14, 118) = 826
GCD(14, 118) = ( 14 x 118 ) / 826
= 14 / 118
= 14
Step3:
LCM(2, 498) = 498
GCD(2, 498) = ( 2 x 498 ) / 498
= 2 / 498
= 2
So, Greatest Common Divisor of 350, 112, 118, 498 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 350, 112, 118, 498
The greatest common divisor of numbers 350, 112, 118, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 112, 118, 498 is 2.
1. What is the GCD of 350, 112, 118, 498?
GCD of given numbers 350, 112, 118, 498 is 2
2. How to calculate the greatest common divisor of 350, 112, 118, 498?
We can find the highest common divisor of 350, 112, 118, 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 350, 112, 118, 498 i.e 2.
3. How can I use the GCD of 350, 112, 118, 498Calculator?
Out the numbers 350, 112, 118, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.