Online GCD Calculator is useful to find the GCD of 118, 470, 978, 418 quickly. Get the easiest ways to solve the greatest common divisor of 118, 470, 978, 418 i.e 2 in different methods as follows.
Given Input numbers are 118, 470, 978, 418
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 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
GCD of numbers is the greatest common divisor
So, the GCD (118, 470, 978, 418) = 2.
Given numbers are 118, 470, 978, 418
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 470 are 2 x 5 x 47
Prime factors of 978 are 2 x 3 x 163
Prime factors of 418 are 2 x 11 x 19
The highest common occurrence is 21
Therefore, GCD of 118, 470, 978, 418 is 2.
Given numbers are 118, 470, 978, 418
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 470) = 27730
GCD(118, 470) = ( 118 x 470 ) / 27730
= 118 / 470
= 118
Step2:
LCM(2, 978) = 978
GCD(2, 978) = ( 2 x 978 ) / 978
= 2 / 978
= 2
Step3:
LCM(2, 418) = 418
GCD(2, 418) = ( 2 x 418 ) / 418
= 2 / 418
= 2
So, Greatest Common Divisor of 118, 470, 978, 418 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 118, 470, 978, 418
The greatest common divisor of numbers 118, 470, 978, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 470, 978, 418 is 2.
1. What is the GCD of 118, 470, 978, 418?
GCD of given numbers 118, 470, 978, 418 is 2
2. How to calculate the greatest common divisor of 118, 470, 978, 418?
We can find the highest common divisor of 118, 470, 978, 418 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, 470, 978, 418 i.e 2.
3. How can I use the GCD of 118, 470, 978, 418Calculator?
Out the numbers 118, 470, 978, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.