Online GCD Calculator is useful to find the GCD of 786, 694, 238, 320 quickly. Get the easiest ways to solve the greatest common divisor of 786, 694, 238, 320 i.e 2 in different methods as follows.
Given Input numbers are 786, 694, 238, 320
In the factoring method, we have to find the divisors of all numbers
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (786, 694, 238, 320) = 2.
Given numbers are 786, 694, 238, 320
The list of prime factors of all numbers are
Prime factors of 786 are 2 x 3 x 131
Prime factors of 694 are 2 x 347
Prime factors of 238 are 2 x 7 x 17
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 786, 694, 238, 320 is 2.
Given numbers are 786, 694, 238, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(786, 694) = 272742
GCD(786, 694) = ( 786 x 694 ) / 272742
= 786 / 694
= 786
Step2:
LCM(2, 238) = 238
GCD(2, 238) = ( 2 x 238 ) / 238
= 2 / 238
= 2
Step3:
LCM(2, 320) = 320
GCD(2, 320) = ( 2 x 320 ) / 320
= 2 / 320
= 2
So, Greatest Common Divisor of 786, 694, 238, 320 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 786, 694, 238, 320
The greatest common divisor of numbers 786, 694, 238, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 786, 694, 238, 320 is 2.
1. What is the GCD of 786, 694, 238, 320?
GCD of given numbers 786, 694, 238, 320 is 2
2. How to calculate the greatest common divisor of 786, 694, 238, 320?
We can find the highest common divisor of 786, 694, 238, 320 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 786, 694, 238, 320 i.e 2.
3. How can I use the GCD of 786, 694, 238, 320Calculator?
Out the numbers 786, 694, 238, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.