Online GCD Calculator is useful to find the GCD of 261, 342, 357, 879 quickly. Get the easiest ways to solve the greatest common divisor of 261, 342, 357, 879 i.e 3 in different methods as follows.
Given Input numbers are 261, 342, 357, 879
In the factoring method, we have to find the divisors of all numbers
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
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 (261, 342, 357, 879) = 3.
Given numbers are 261, 342, 357, 879
The list of prime factors of all numbers are
Prime factors of 261 are 3 x 3 x 29
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 357 are 3 x 7 x 17
Prime factors of 879 are 3 x 293
The highest common occurrence is 31
Therefore, GCD of 261, 342, 357, 879 is 3.
Given numbers are 261, 342, 357, 879
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(261, 342) = 9918
GCD(261, 342) = ( 261 x 342 ) / 9918
= 261 / 342
= 261
Step2:
LCM(9, 357) = 1071
GCD(9, 357) = ( 9 x 357 ) / 1071
= 9 / 357
= 9
Step3:
LCM(3, 879) = 879
GCD(3, 879) = ( 3 x 879 ) / 879
= 3 / 879
= 3
So, Greatest Common Divisor of 261, 342, 357, 879 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 261, 342, 357, 879
The greatest common divisor of numbers 261, 342, 357, 879 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 342, 357, 879 is 3.
1. What is the GCD of 261, 342, 357, 879?
GCD of given numbers 261, 342, 357, 879 is 3
2. How to calculate the greatest common divisor of 261, 342, 357, 879?
We can find the highest common divisor of 261, 342, 357, 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 261, 342, 357, 879 i.e 3.
3. How can I use the GCD of 261, 342, 357, 879Calculator?
Out the numbers 261, 342, 357, 879 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.