Online GCD Calculator is useful to find the GCD of 844, 689, 705, 714 quickly. Get the easiest ways to solve the greatest common divisor of 844, 689, 705, 714 i.e 1 in different methods as follows.
Given Input numbers are 844, 689, 705, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (844, 689, 705, 714) = 1.
Given numbers are 844, 689, 705, 714
The list of prime factors of all numbers are
Prime factors of 844 are 2 x 2 x 211
Prime factors of 689 are 13 x 53
Prime factors of 705 are 3 x 5 x 47
Prime factors of 714 are 2 x 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 844, 689, 705, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(844, 689) = 581516
GCD(844, 689) = ( 844 x 689 ) / 581516
= 844 / 689
= 844
Step2:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
Step3:
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
= 1 / 714
= 1
So, Greatest Common Divisor of 844, 689, 705, 714 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 844, 689, 705, 714
The greatest common divisor of numbers 844, 689, 705, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 689, 705, 714 is 1.
1. What is the GCD of 844, 689, 705, 714?
GCD of given numbers 844, 689, 705, 714 is 1
2. How to calculate the greatest common divisor of 844, 689, 705, 714?
We can find the highest common divisor of 844, 689, 705, 714 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 844, 689, 705, 714 i.e 1.
3. How can I use the GCD of 844, 689, 705, 714Calculator?
Out the numbers 844, 689, 705, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.