Online GCD Calculator is useful to find the GCD of 735, 646, 686, 712 quickly. Get the easiest ways to solve the greatest common divisor of 735, 646, 686, 712 i.e 1 in different methods as follows.
Given Input numbers are 735, 646, 686, 712
In the factoring method, we have to find the divisors of all numbers
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
GCD of numbers is the greatest common divisor
So, the GCD (735, 646, 686, 712) = 1.
Given numbers are 735, 646, 686, 712
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 646 are 2 x 17 x 19
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 712 are 2 x 2 x 2 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 735, 646, 686, 712
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 646) = 474810
GCD(735, 646) = ( 735 x 646 ) / 474810
= 735 / 646
= 735
Step2:
LCM(1, 686) = 686
GCD(1, 686) = ( 1 x 686 ) / 686
= 1 / 686
= 1
Step3:
LCM(1, 712) = 712
GCD(1, 712) = ( 1 x 712 ) / 712
= 1 / 712
= 1
So, Greatest Common Divisor of 735, 646, 686, 712 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 646, 686, 712
The greatest common divisor of numbers 735, 646, 686, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 646, 686, 712 is 1.
1. What is the GCD of 735, 646, 686, 712?
GCD of given numbers 735, 646, 686, 712 is 1
2. How to calculate the greatest common divisor of 735, 646, 686, 712?
We can find the highest common divisor of 735, 646, 686, 712 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 735, 646, 686, 712 i.e 1.
3. How can I use the GCD of 735, 646, 686, 712Calculator?
Out the numbers 735, 646, 686, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.