Online GCD Calculator is useful to find the GCD of 772, 732, 896, 704 quickly. Get the easiest ways to solve the greatest common divisor of 772, 732, 896, 704 i.e 4 in different methods as follows.
Given Input numbers are 772, 732, 896, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD of numbers is the greatest common divisor
So, the GCD (772, 732, 896, 704) = 4.
Given numbers are 772, 732, 896, 704
The list of prime factors of all numbers are
Prime factors of 772 are 2 x 2 x 193
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 22
Therefore, GCD of 772, 732, 896, 704 is 4.
Given numbers are 772, 732, 896, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(772, 732) = 141276
GCD(772, 732) = ( 772 x 732 ) / 141276
= 772 / 732
= 772
Step2:
LCM(4, 896) = 896
GCD(4, 896) = ( 4 x 896 ) / 896
= 4 / 896
= 4
Step3:
LCM(4, 704) = 704
GCD(4, 704) = ( 4 x 704 ) / 704
= 4 / 704
= 4
So, Greatest Common Divisor of 772, 732, 896, 704 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 772, 732, 896, 704
The greatest common divisor of numbers 772, 732, 896, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 732, 896, 704 is 4.
1. What is the GCD of 772, 732, 896, 704?
GCD of given numbers 772, 732, 896, 704 is 4
2. How to calculate the greatest common divisor of 772, 732, 896, 704?
We can find the highest common divisor of 772, 732, 896, 704 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 772, 732, 896, 704 i.e 4.
3. How can I use the GCD of 772, 732, 896, 704Calculator?
Out the numbers 772, 732, 896, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.