Online GCD Calculator is useful to find the GCD of 688, 696, 689, 724 quickly. Get the easiest ways to solve the greatest common divisor of 688, 696, 689, 724 i.e 1 in different methods as follows.
Given Input numbers are 688, 696, 689, 724
In the factoring method, we have to find the divisors of all numbers
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 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 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (688, 696, 689, 724) = 1.
Given numbers are 688, 696, 689, 724
The list of prime factors of all numbers are
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 689 are 13 x 53
Prime factors of 724 are 2 x 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 688, 696, 689, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 696) = 59856
GCD(688, 696) = ( 688 x 696 ) / 59856
= 688 / 696
= 688
Step2:
LCM(8, 689) = 5512
GCD(8, 689) = ( 8 x 689 ) / 5512
= 8 / 689
= 8
Step3:
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
= 1 / 724
= 1
So, Greatest Common Divisor of 688, 696, 689, 724 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 696, 689, 724
The greatest common divisor of numbers 688, 696, 689, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 696, 689, 724 is 1.
1. What is the GCD of 688, 696, 689, 724?
GCD of given numbers 688, 696, 689, 724 is 1
2. How to calculate the greatest common divisor of 688, 696, 689, 724?
We can find the highest common divisor of 688, 696, 689, 724 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 688, 696, 689, 724 i.e 1.
3. How can I use the GCD of 688, 696, 689, 724Calculator?
Out the numbers 688, 696, 689, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.