Online GCD Calculator is useful to find the GCD of 978, 136, 58 quickly. Get the easiest ways to solve the greatest common divisor of 978, 136, 58 i.e 2 in different methods as follows.
Given Input numbers are 978, 136, 58
In the factoring method, we have to find the divisors of all numbers
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 58 :
The positive integer divisors of 58 that completely divides 58 are.
1, 2, 29, 58
GCD of numbers is the greatest common divisor
So, the GCD (978, 136, 58) = 2.
Given numbers are 978, 136, 58
The list of prime factors of all numbers are
Prime factors of 978 are 2 x 3 x 163
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 58 are 2 x 29
The highest common occurrence is 21
Therefore, GCD of 978, 136, 58 is 2.
Given numbers are 978, 136, 58
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(978, 136) = 66504
GCD(978, 136) = ( 978 x 136 ) / 66504
= 978 / 136
= 978
Step2:
LCM(2, 58) = 58
GCD(2, 58) = ( 2 x 58 ) / 58
= 2 / 58
= 2
So, Greatest Common Divisor of 978, 136, 58 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 978, 136, 58
The greatest common divisor of numbers 978, 136, 58 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 136, 58 is 2.
1. What is the GCD of 978, 136, 58?
GCD of given numbers 978, 136, 58 is 2
2. How to calculate the greatest common divisor of 978, 136, 58?
We can find the highest common divisor of 978, 136, 58 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 978, 136, 58 i.e 2.
3. How can I use the GCD of 978, 136, 58Calculator?
Out the numbers 978, 136, 58 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.