Online GCD Calculator is useful to find the GCD of 616, 720, 735 quickly. Get the easiest ways to solve the greatest common divisor of 616, 720, 735 i.e 1 in different methods as follows.
Given Input numbers are 616, 720, 735
In the factoring method, we have to find the divisors of all numbers
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
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 (616, 720, 735) = 1.
Given numbers are 616, 720, 735
The list of prime factors of all numbers are
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
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 616, 720, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(616, 720) = 55440
GCD(616, 720) = ( 616 x 720 ) / 55440
= 616 / 720
= 616
Step2:
LCM(8, 735) = 5880
GCD(8, 735) = ( 8 x 735 ) / 5880
= 8 / 735
= 8
So, Greatest Common Divisor of 616, 720, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 616, 720, 735
The greatest common divisor of numbers 616, 720, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 720, 735 is 1.
1. What is the GCD of 616, 720, 735?
GCD of given numbers 616, 720, 735 is 1
2. How to calculate the greatest common divisor of 616, 720, 735?
We can find the highest common divisor of 616, 720, 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 616, 720, 735 i.e 1.
3. How can I use the GCD of 616, 720, 735Calculator?
Out the numbers 616, 720, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.