Online GCD Calculator is useful to find the GCD of 657, 642, 159, 879 quickly. Get the easiest ways to solve the greatest common divisor of 657, 642, 159, 879 i.e 3 in different methods as follows.
Given Input numbers are 657, 642, 159, 879
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 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 879 :
The positive integer divisors of 879 that completely divides 879 are.
1, 3, 293, 879
GCD of numbers is the greatest common divisor
So, the GCD (657, 642, 159, 879) = 3.
Given numbers are 657, 642, 159, 879
The list of prime factors of all numbers are
Prime factors of 657 are 3 x 3 x 73
Prime factors of 642 are 2 x 3 x 107
Prime factors of 159 are 3 x 53
Prime factors of 879 are 3 x 293
The highest common occurrence is 31
Therefore, GCD of 657, 642, 159, 879 is 3.
Given numbers are 657, 642, 159, 879
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(657, 642) = 140598
GCD(657, 642) = ( 657 x 642 ) / 140598
= 657 / 642
= 657
Step2:
LCM(3, 159) = 159
GCD(3, 159) = ( 3 x 159 ) / 159
= 3 / 159
= 3
Step3:
LCM(3, 879) = 879
GCD(3, 879) = ( 3 x 879 ) / 879
= 3 / 879
= 3
So, Greatest Common Divisor of 657, 642, 159, 879 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 657, 642, 159, 879
The greatest common divisor of numbers 657, 642, 159, 879 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 642, 159, 879 is 3.
1. What is the GCD of 657, 642, 159, 879?
GCD of given numbers 657, 642, 159, 879 is 3
2. How to calculate the greatest common divisor of 657, 642, 159, 879?
We can find the highest common divisor of 657, 642, 159, 879 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, 642, 159, 879 i.e 3.
3. How can I use the GCD of 657, 642, 159, 879Calculator?
Out the numbers 657, 642, 159, 879 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.