Online GCD Calculator is useful to find the GCD of 392, 508, 964, 146 quickly. Get the easiest ways to solve the greatest common divisor of 392, 508, 964, 146 i.e 2 in different methods as follows.
Given Input numbers are 392, 508, 964, 146
In the factoring method, we have to find the divisors of all numbers
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
GCD of numbers is the greatest common divisor
So, the GCD (392, 508, 964, 146) = 2.
Given numbers are 392, 508, 964, 146
The list of prime factors of all numbers are
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 508 are 2 x 2 x 127
Prime factors of 964 are 2 x 2 x 241
Prime factors of 146 are 2 x 73
The highest common occurrence is 21
Therefore, GCD of 392, 508, 964, 146 is 2.
Given numbers are 392, 508, 964, 146
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(392, 508) = 49784
GCD(392, 508) = ( 392 x 508 ) / 49784
= 392 / 508
= 392
Step2:
LCM(4, 964) = 964
GCD(4, 964) = ( 4 x 964 ) / 964
= 4 / 964
= 4
Step3:
LCM(4, 146) = 292
GCD(4, 146) = ( 4 x 146 ) / 292
= 4 / 146
= 4
So, Greatest Common Divisor of 392, 508, 964, 146 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 392, 508, 964, 146
The greatest common divisor of numbers 392, 508, 964, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 508, 964, 146 is 2.
1. What is the GCD of 392, 508, 964, 146?
GCD of given numbers 392, 508, 964, 146 is 2
2. How to calculate the greatest common divisor of 392, 508, 964, 146?
We can find the highest common divisor of 392, 508, 964, 146 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 392, 508, 964, 146 i.e 2.
3. How can I use the GCD of 392, 508, 964, 146Calculator?
Out the numbers 392, 508, 964, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.