Online GCD Calculator is useful to find the GCD of 956, 914, 448, 772 quickly. Get the easiest ways to solve the greatest common divisor of 956, 914, 448, 772 i.e 2 in different methods as follows.
Given Input numbers are 956, 914, 448, 772
In the factoring method, we have to find the divisors of all numbers
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
GCD of numbers is the greatest common divisor
So, the GCD (956, 914, 448, 772) = 2.
Given numbers are 956, 914, 448, 772
The list of prime factors of all numbers are
Prime factors of 956 are 2 x 2 x 239
Prime factors of 914 are 2 x 457
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 772 are 2 x 2 x 193
The highest common occurrence is 21
Therefore, GCD of 956, 914, 448, 772 is 2.
Given numbers are 956, 914, 448, 772
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(956, 914) = 436892
GCD(956, 914) = ( 956 x 914 ) / 436892
= 956 / 914
= 956
Step2:
LCM(2, 448) = 448
GCD(2, 448) = ( 2 x 448 ) / 448
= 2 / 448
= 2
Step3:
LCM(2, 772) = 772
GCD(2, 772) = ( 2 x 772 ) / 772
= 2 / 772
= 2
So, Greatest Common Divisor of 956, 914, 448, 772 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 956, 914, 448, 772
The greatest common divisor of numbers 956, 914, 448, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 956, 914, 448, 772 is 2.
1. What is the GCD of 956, 914, 448, 772?
GCD of given numbers 956, 914, 448, 772 is 2
2. How to calculate the greatest common divisor of 956, 914, 448, 772?
We can find the highest common divisor of 956, 914, 448, 772 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 956, 914, 448, 772 i.e 2.
3. How can I use the GCD of 956, 914, 448, 772Calculator?
Out the numbers 956, 914, 448, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.