Online GCD Calculator is useful to find the GCD of 298, 588, 418, 120 quickly. Get the easiest ways to solve the greatest common divisor of 298, 588, 418, 120 i.e 2 in different methods as follows.
Given Input numbers are 298, 588, 418, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (298, 588, 418, 120) = 2.
Given numbers are 298, 588, 418, 120
The list of prime factors of all numbers are
Prime factors of 298 are 2 x 149
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 418 are 2 x 11 x 19
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 298, 588, 418, 120 is 2.
Given numbers are 298, 588, 418, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(298, 588) = 87612
GCD(298, 588) = ( 298 x 588 ) / 87612
= 298 / 588
= 298
Step2:
LCM(2, 418) = 418
GCD(2, 418) = ( 2 x 418 ) / 418
= 2 / 418
= 2
Step3:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
So, Greatest Common Divisor of 298, 588, 418, 120 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 298, 588, 418, 120
The greatest common divisor of numbers 298, 588, 418, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 588, 418, 120 is 2.
1. What is the GCD of 298, 588, 418, 120?
GCD of given numbers 298, 588, 418, 120 is 2
2. How to calculate the greatest common divisor of 298, 588, 418, 120?
We can find the highest common divisor of 298, 588, 418, 120 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 298, 588, 418, 120 i.e 2.
3. How can I use the GCD of 298, 588, 418, 120Calculator?
Out the numbers 298, 588, 418, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.