Online GCD Calculator is useful to find the GCD of 831, 336, 435, 261 quickly. Get the easiest ways to solve the greatest common divisor of 831, 336, 435, 261 i.e 3 in different methods as follows.
Given Input numbers are 831, 336, 435, 261
In the factoring method, we have to find the divisors of all numbers
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 435 :
The positive integer divisors of 435 that completely divides 435 are.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
GCD of numbers is the greatest common divisor
So, the GCD (831, 336, 435, 261) = 3.
Given numbers are 831, 336, 435, 261
The list of prime factors of all numbers are
Prime factors of 831 are 3 x 277
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 435 are 3 x 5 x 29
Prime factors of 261 are 3 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 831, 336, 435, 261 is 3.
Given numbers are 831, 336, 435, 261
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(831, 336) = 93072
GCD(831, 336) = ( 831 x 336 ) / 93072
= 831 / 336
= 831
Step2:
LCM(3, 435) = 435
GCD(3, 435) = ( 3 x 435 ) / 435
= 3 / 435
= 3
Step3:
LCM(3, 261) = 261
GCD(3, 261) = ( 3 x 261 ) / 261
= 3 / 261
= 3
So, Greatest Common Divisor of 831, 336, 435, 261 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 831, 336, 435, 261
The greatest common divisor of numbers 831, 336, 435, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 336, 435, 261 is 3.
1. What is the GCD of 831, 336, 435, 261?
GCD of given numbers 831, 336, 435, 261 is 3
2. How to calculate the greatest common divisor of 831, 336, 435, 261?
We can find the highest common divisor of 831, 336, 435, 261 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 831, 336, 435, 261 i.e 3.
3. How can I use the GCD of 831, 336, 435, 261Calculator?
Out the numbers 831, 336, 435, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.