Online GCD Calculator is useful to find the GCD of 708, 780, 735, 659 quickly. Get the easiest ways to solve the greatest common divisor of 708, 780, 735, 659 i.e 1 in different methods as follows.
Given Input numbers are 708, 780, 735, 659
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
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 659 :
The positive integer divisors of 659 that completely divides 659 are.
1, 659
GCD of numbers is the greatest common divisor
So, the GCD (708, 780, 735, 659) = 1.
Given numbers are 708, 780, 735, 659
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 659 are 659
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 708, 780, 735, 659
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 780) = 46020
GCD(708, 780) = ( 708 x 780 ) / 46020
= 708 / 780
= 708
Step2:
LCM(12, 735) = 2940
GCD(12, 735) = ( 12 x 735 ) / 2940
= 12 / 735
= 12
Step3:
LCM(3, 659) = 1977
GCD(3, 659) = ( 3 x 659 ) / 1977
= 3 / 659
= 3
So, Greatest Common Divisor of 708, 780, 735, 659 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 780, 735, 659
The greatest common divisor of numbers 708, 780, 735, 659 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 780, 735, 659 is 1.
1. What is the GCD of 708, 780, 735, 659?
GCD of given numbers 708, 780, 735, 659 is 1
2. How to calculate the greatest common divisor of 708, 780, 735, 659?
We can find the highest common divisor of 708, 780, 735, 659 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 708, 780, 735, 659 i.e 1.
3. How can I use the GCD of 708, 780, 735, 659Calculator?
Out the numbers 708, 780, 735, 659 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.