Online GCD Calculator is useful to find the GCD of 704, 688, 724, 912 quickly. Get the easiest ways to solve the greatest common divisor of 704, 688, 724, 912 i.e 4 in different methods as follows.
Given Input numbers are 704, 688, 724, 912
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
GCD of numbers is the greatest common divisor
So, the GCD (704, 688, 724, 912) = 4.
Given numbers are 704, 688, 724, 912
The list of prime factors of all numbers are
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 724 are 2 x 2 x 181
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
The highest common occurrence is 22
Therefore, GCD of 704, 688, 724, 912 is 4.
Given numbers are 704, 688, 724, 912
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 688) = 30272
GCD(704, 688) = ( 704 x 688 ) / 30272
= 704 / 688
= 704
Step2:
LCM(16, 724) = 2896
GCD(16, 724) = ( 16 x 724 ) / 2896
= 16 / 724
= 16
Step3:
LCM(4, 912) = 912
GCD(4, 912) = ( 4 x 912 ) / 912
= 4 / 912
= 4
So, Greatest Common Divisor of 704, 688, 724, 912 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 688, 724, 912
The greatest common divisor of numbers 704, 688, 724, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 688, 724, 912 is 4.
1. What is the GCD of 704, 688, 724, 912?
GCD of given numbers 704, 688, 724, 912 is 4
2. How to calculate the greatest common divisor of 704, 688, 724, 912?
We can find the highest common divisor of 704, 688, 724, 912 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 704, 688, 724, 912 i.e 4.
3. How can I use the GCD of 704, 688, 724, 912Calculator?
Out the numbers 704, 688, 724, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.