Online GCD Calculator is useful to find the GCD of 952, 978, 308, 148 quickly. Get the easiest ways to solve the greatest common divisor of 952, 978, 308, 148 i.e 2 in different methods as follows.
Given Input numbers are 952, 978, 308, 148
In the factoring method, we have to find the divisors of all numbers
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
GCD of numbers is the greatest common divisor
So, the GCD (952, 978, 308, 148) = 2.
Given numbers are 952, 978, 308, 148
The list of prime factors of all numbers are
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 978 are 2 x 3 x 163
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 148 are 2 x 2 x 37
The highest common occurrence is 21
Therefore, GCD of 952, 978, 308, 148 is 2.
Given numbers are 952, 978, 308, 148
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(952, 978) = 465528
GCD(952, 978) = ( 952 x 978 ) / 465528
= 952 / 978
= 952
Step2:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
Step3:
LCM(2, 148) = 148
GCD(2, 148) = ( 2 x 148 ) / 148
= 2 / 148
= 2
So, Greatest Common Divisor of 952, 978, 308, 148 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 952, 978, 308, 148
The greatest common divisor of numbers 952, 978, 308, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 978, 308, 148 is 2.
1. What is the GCD of 952, 978, 308, 148?
GCD of given numbers 952, 978, 308, 148 is 2
2. How to calculate the greatest common divisor of 952, 978, 308, 148?
We can find the highest common divisor of 952, 978, 308, 148 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 952, 978, 308, 148 i.e 2.
3. How can I use the GCD of 952, 978, 308, 148Calculator?
Out the numbers 952, 978, 308, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.