Online GCD Calculator is useful to find the GCD of 657, 345, 834 quickly. Get the easiest ways to solve the greatest common divisor of 657, 345, 834 i.e 3 in different methods as follows.
Given Input numbers are 657, 345, 834
In the factoring method, we have to find the divisors of all numbers
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
GCD of numbers is the greatest common divisor
So, the GCD (657, 345, 834) = 3.
Given numbers are 657, 345, 834
The list of prime factors of all numbers are
Prime factors of 657 are 3 x 3 x 73
Prime factors of 345 are 3 x 5 x 23
Prime factors of 834 are 2 x 3 x 139
The highest common occurrence is 31
Therefore, GCD of 657, 345, 834 is 3.
Given numbers are 657, 345, 834
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(657, 345) = 75555
GCD(657, 345) = ( 657 x 345 ) / 75555
= 657 / 345
= 657
Step2:
LCM(3, 834) = 834
GCD(3, 834) = ( 3 x 834 ) / 834
= 3 / 834
= 3
So, Greatest Common Divisor of 657, 345, 834 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 657, 345, 834
The greatest common divisor of numbers 657, 345, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 345, 834 is 3.
1. What is the GCD of 657, 345, 834?
GCD of given numbers 657, 345, 834 is 3
2. How to calculate the greatest common divisor of 657, 345, 834?
We can find the highest common divisor of 657, 345, 834 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 657, 345, 834 i.e 3.
3. How can I use the GCD of 657, 345, 834Calculator?
Out the numbers 657, 345, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.