Online GCD Calculator is useful to find the GCD of 716, 428, 696, 472 quickly. Get the easiest ways to solve the greatest common divisor of 716, 428, 696, 472 i.e 4 in different methods as follows.
Given Input numbers are 716, 428, 696, 472
In the factoring method, we have to find the divisors of all numbers
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (716, 428, 696, 472) = 4.
Given numbers are 716, 428, 696, 472
The list of prime factors of all numbers are
Prime factors of 716 are 2 x 2 x 179
Prime factors of 428 are 2 x 2 x 107
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 472 are 2 x 2 x 2 x 59
The highest common occurrence is 22
Therefore, GCD of 716, 428, 696, 472 is 4.
Given numbers are 716, 428, 696, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(716, 428) = 76612
GCD(716, 428) = ( 716 x 428 ) / 76612
= 716 / 428
= 716
Step2:
LCM(4, 696) = 696
GCD(4, 696) = ( 4 x 696 ) / 696
= 4 / 696
= 4
Step3:
LCM(4, 472) = 472
GCD(4, 472) = ( 4 x 472 ) / 472
= 4 / 472
= 4
So, Greatest Common Divisor of 716, 428, 696, 472 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 716, 428, 696, 472
The greatest common divisor of numbers 716, 428, 696, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 428, 696, 472 is 4.
1. What is the GCD of 716, 428, 696, 472?
GCD of given numbers 716, 428, 696, 472 is 4
2. How to calculate the greatest common divisor of 716, 428, 696, 472?
We can find the highest common divisor of 716, 428, 696, 472 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 716, 428, 696, 472 i.e 4.
3. How can I use the GCD of 716, 428, 696, 472Calculator?
Out the numbers 716, 428, 696, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.