Online GCD Calculator is useful to find the GCD of 960, 962, 616, 146 quickly. Get the easiest ways to solve the greatest common divisor of 960, 962, 616, 146 i.e 2 in different methods as follows.
Given Input numbers are 960, 962, 616, 146
In the factoring method, we have to find the divisors of all numbers
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
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 (960, 962, 616, 146) = 2.
Given numbers are 960, 962, 616, 146
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 962 are 2 x 13 x 37
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 146 are 2 x 73
The highest common occurrence is 21
Therefore, GCD of 960, 962, 616, 146 is 2.
Given numbers are 960, 962, 616, 146
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 962) = 461760
GCD(960, 962) = ( 960 x 962 ) / 461760
= 960 / 962
= 960
Step2:
LCM(2, 616) = 616
GCD(2, 616) = ( 2 x 616 ) / 616
= 2 / 616
= 2
Step3:
LCM(2, 146) = 146
GCD(2, 146) = ( 2 x 146 ) / 146
= 2 / 146
= 2
So, Greatest Common Divisor of 960, 962, 616, 146 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 962, 616, 146
The greatest common divisor of numbers 960, 962, 616, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 962, 616, 146 is 2.
1. What is the GCD of 960, 962, 616, 146?
GCD of given numbers 960, 962, 616, 146 is 2
2. How to calculate the greatest common divisor of 960, 962, 616, 146?
We can find the highest common divisor of 960, 962, 616, 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 960, 962, 616, 146 i.e 2.
3. How can I use the GCD of 960, 962, 616, 146Calculator?
Out the numbers 960, 962, 616, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.