Online GCD Calculator is useful to find the GCD of 146, 978, 968, 548 quickly. Get the easiest ways to solve the greatest common divisor of 146, 978, 968, 548 i.e 2 in different methods as follows.
Given Input numbers are 146, 978, 968, 548
In the factoring method, we have to find the divisors of all numbers
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (146, 978, 968, 548) = 2.
Given numbers are 146, 978, 968, 548
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 978 are 2 x 3 x 163
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 548 are 2 x 2 x 137
The highest common occurrence is 21
Therefore, GCD of 146, 978, 968, 548 is 2.
Given numbers are 146, 978, 968, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 978) = 71394
GCD(146, 978) = ( 146 x 978 ) / 71394
= 146 / 978
= 146
Step2:
LCM(2, 968) = 968
GCD(2, 968) = ( 2 x 968 ) / 968
= 2 / 968
= 2
Step3:
LCM(2, 548) = 548
GCD(2, 548) = ( 2 x 548 ) / 548
= 2 / 548
= 2
So, Greatest Common Divisor of 146, 978, 968, 548 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 146, 978, 968, 548
The greatest common divisor of numbers 146, 978, 968, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 978, 968, 548 is 2.
1. What is the GCD of 146, 978, 968, 548?
GCD of given numbers 146, 978, 968, 548 is 2
2. How to calculate the greatest common divisor of 146, 978, 968, 548?
We can find the highest common divisor of 146, 978, 968, 548 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 146, 978, 968, 548 i.e 2.
3. How can I use the GCD of 146, 978, 968, 548Calculator?
Out the numbers 146, 978, 968, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.