Online GCD Calculator is useful to find the GCD of 768, 705, 378 quickly. Get the easiest ways to solve the greatest common divisor of 768, 705, 378 i.e 3 in different methods as follows.
Given Input numbers are 768, 705, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (768, 705, 378) = 3.
Given numbers are 768, 705, 378
The list of prime factors of all numbers are
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 705 are 3 x 5 x 47
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 768, 705, 378 is 3.
Given numbers are 768, 705, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(768, 705) = 180480
GCD(768, 705) = ( 768 x 705 ) / 180480
= 768 / 705
= 768
Step2:
LCM(3, 378) = 378
GCD(3, 378) = ( 3 x 378 ) / 378
= 3 / 378
= 3
So, Greatest Common Divisor of 768, 705, 378 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 768, 705, 378
The greatest common divisor of numbers 768, 705, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 705, 378 is 3.
1. What is the GCD of 768, 705, 378?
GCD of given numbers 768, 705, 378 is 3
2. How to calculate the greatest common divisor of 768, 705, 378?
We can find the highest common divisor of 768, 705, 378 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 768, 705, 378 i.e 3.
3. How can I use the GCD of 768, 705, 378Calculator?
Out the numbers 768, 705, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.