Online GCD Calculator is useful to find the GCD of 371, 782, 744, 689 quickly. Get the easiest ways to solve the greatest common divisor of 371, 782, 744, 689 i.e 1 in different methods as follows.
Given Input numbers are 371, 782, 744, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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 (371, 782, 744, 689) = 1.
Given numbers are 371, 782, 744, 689
The list of prime factors of all numbers are
Prime factors of 371 are 7 x 53
Prime factors of 782 are 2 x 17 x 23
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
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 371, 782, 744, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(371, 782) = 290122
GCD(371, 782) = ( 371 x 782 ) / 290122
= 371 / 782
= 371
Step2:
LCM(1, 744) = 744
GCD(1, 744) = ( 1 x 744 ) / 744
= 1 / 744
= 1
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 371, 782, 744, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 371, 782, 744, 689
The greatest common divisor of numbers 371, 782, 744, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 371, 782, 744, 689 is 1.
1. What is the GCD of 371, 782, 744, 689?
GCD of given numbers 371, 782, 744, 689 is 1
2. How to calculate the greatest common divisor of 371, 782, 744, 689?
We can find the highest common divisor of 371, 782, 744, 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 371, 782, 744, 689 i.e 1.
3. How can I use the GCD of 371, 782, 744, 689Calculator?
Out the numbers 371, 782, 744, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.