Online GCD Calculator is useful to find the GCD of 703, 648, 700, 689 quickly. Get the easiest ways to solve the greatest common divisor of 703, 648, 700, 689 i.e 1 in different methods as follows.
Given Input numbers are 703, 648, 700, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 703 :
The positive integer divisors of 703 that completely divides 703 are.
1, 19, 37, 703
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (703, 648, 700, 689) = 1.
Given numbers are 703, 648, 700, 689
The list of prime factors of all numbers are
Prime factors of 703 are 19 x 37
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 703, 648, 700, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(703, 648) = 455544
GCD(703, 648) = ( 703 x 648 ) / 455544
= 703 / 648
= 703
Step2:
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
= 1 / 700
= 1
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 703, 648, 700, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 703, 648, 700, 689
The greatest common divisor of numbers 703, 648, 700, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 703, 648, 700, 689 is 1.
1. What is the GCD of 703, 648, 700, 689?
GCD of given numbers 703, 648, 700, 689 is 1
2. How to calculate the greatest common divisor of 703, 648, 700, 689?
We can find the highest common divisor of 703, 648, 700, 689 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 703, 648, 700, 689 i.e 1.
3. How can I use the GCD of 703, 648, 700, 689Calculator?
Out the numbers 703, 648, 700, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.