Online GCD Calculator is useful to find the GCD of 746, 364, 799, 735 quickly. Get the easiest ways to solve the greatest common divisor of 746, 364, 799, 735 i.e 1 in different methods as follows.
Given Input numbers are 746, 364, 799, 735
In the factoring method, we have to find the divisors of all numbers
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 799 :
The positive integer divisors of 799 that completely divides 799 are.
1, 17, 47, 799
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
GCD of numbers is the greatest common divisor
So, the GCD (746, 364, 799, 735) = 1.
Given numbers are 746, 364, 799, 735
The list of prime factors of all numbers are
Prime factors of 746 are 2 x 373
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 799 are 17 x 47
Prime factors of 735 are 3 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 746, 364, 799, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(746, 364) = 135772
GCD(746, 364) = ( 746 x 364 ) / 135772
= 746 / 364
= 746
Step2:
LCM(2, 799) = 1598
GCD(2, 799) = ( 2 x 799 ) / 1598
= 2 / 799
= 2
Step3:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
So, Greatest Common Divisor of 746, 364, 799, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 746, 364, 799, 735
The greatest common divisor of numbers 746, 364, 799, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 364, 799, 735 is 1.
1. What is the GCD of 746, 364, 799, 735?
GCD of given numbers 746, 364, 799, 735 is 1
2. How to calculate the greatest common divisor of 746, 364, 799, 735?
We can find the highest common divisor of 746, 364, 799, 735 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 746, 364, 799, 735 i.e 1.
3. How can I use the GCD of 746, 364, 799, 735Calculator?
Out the numbers 746, 364, 799, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.