Online GCD Calculator is useful to find the GCD of 708, 759, 686, 698 quickly. Get the easiest ways to solve the greatest common divisor of 708, 759, 686, 698 i.e 1 in different methods as follows.
Given Input numbers are 708, 759, 686, 698
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 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (708, 759, 686, 698) = 1.
Given numbers are 708, 759, 686, 698
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 759 are 3 x 11 x 23
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 698 are 2 x 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 708, 759, 686, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 759) = 179124
GCD(708, 759) = ( 708 x 759 ) / 179124
= 708 / 759
= 708
Step2:
LCM(3, 686) = 2058
GCD(3, 686) = ( 3 x 686 ) / 2058
= 3 / 686
= 3
Step3:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
So, Greatest Common Divisor of 708, 759, 686, 698 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 759, 686, 698
The greatest common divisor of numbers 708, 759, 686, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 759, 686, 698 is 1.
1. What is the GCD of 708, 759, 686, 698?
GCD of given numbers 708, 759, 686, 698 is 1
2. How to calculate the greatest common divisor of 708, 759, 686, 698?
We can find the highest common divisor of 708, 759, 686, 698 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, 759, 686, 698 i.e 1.
3. How can I use the GCD of 708, 759, 686, 698Calculator?
Out the numbers 708, 759, 686, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.