Online GCD Calculator is useful to find the GCD of 736, 956, 392, 960 quickly. Get the easiest ways to solve the greatest common divisor of 736, 956, 392, 960 i.e 4 in different methods as follows.
Given Input numbers are 736, 956, 392, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
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 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
GCD of numbers is the greatest common divisor
So, the GCD (736, 956, 392, 960) = 4.
Given numbers are 736, 956, 392, 960
The list of prime factors of all numbers are
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 956 are 2 x 2 x 239
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 22
Therefore, GCD of 736, 956, 392, 960 is 4.
Given numbers are 736, 956, 392, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(736, 956) = 175904
GCD(736, 956) = ( 736 x 956 ) / 175904
= 736 / 956
= 736
Step2:
LCM(4, 392) = 392
GCD(4, 392) = ( 4 x 392 ) / 392
= 4 / 392
= 4
Step3:
LCM(4, 960) = 960
GCD(4, 960) = ( 4 x 960 ) / 960
= 4 / 960
= 4
So, Greatest Common Divisor of 736, 956, 392, 960 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 736, 956, 392, 960
The greatest common divisor of numbers 736, 956, 392, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 956, 392, 960 is 4.
1. What is the GCD of 736, 956, 392, 960?
GCD of given numbers 736, 956, 392, 960 is 4
2. How to calculate the greatest common divisor of 736, 956, 392, 960?
We can find the highest common divisor of 736, 956, 392, 960 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 736, 956, 392, 960 i.e 4.
3. How can I use the GCD of 736, 956, 392, 960Calculator?
Out the numbers 736, 956, 392, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.