Online GCD Calculator is useful to find the GCD of 724, 804, 842, 687 quickly. Get the easiest ways to solve the greatest common divisor of 724, 804, 842, 687 i.e 1 in different methods as follows.
Given Input numbers are 724, 804, 842, 687
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (724, 804, 842, 687) = 1.
Given numbers are 724, 804, 842, 687
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 842 are 2 x 421
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 724, 804, 842, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 804) = 145524
GCD(724, 804) = ( 724 x 804 ) / 145524
= 724 / 804
= 724
Step2:
LCM(4, 842) = 1684
GCD(4, 842) = ( 4 x 842 ) / 1684
= 4 / 842
= 4
Step3:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
So, Greatest Common Divisor of 724, 804, 842, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 804, 842, 687
The greatest common divisor of numbers 724, 804, 842, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 804, 842, 687 is 1.
1. What is the GCD of 724, 804, 842, 687?
GCD of given numbers 724, 804, 842, 687 is 1
2. How to calculate the greatest common divisor of 724, 804, 842, 687?
We can find the highest common divisor of 724, 804, 842, 687 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 724, 804, 842, 687 i.e 1.
3. How can I use the GCD of 724, 804, 842, 687Calculator?
Out the numbers 724, 804, 842, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.