Online GCD Calculator is useful to find the GCD of 828, 477, 957 quickly. Get the easiest ways to solve the greatest common divisor of 828, 477, 957 i.e 3 in different methods as follows.
Given Input numbers are 828, 477, 957
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
GCD of numbers is the greatest common divisor
So, the GCD (828, 477, 957) = 3.
Given numbers are 828, 477, 957
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 477 are 3 x 3 x 53
Prime factors of 957 are 3 x 11 x 29
The highest common occurrence is 31
Therefore, GCD of 828, 477, 957 is 3.
Given numbers are 828, 477, 957
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 477) = 43884
GCD(828, 477) = ( 828 x 477 ) / 43884
= 828 / 477
= 828
Step2:
LCM(9, 957) = 2871
GCD(9, 957) = ( 9 x 957 ) / 2871
= 9 / 957
= 9
So, Greatest Common Divisor of 828, 477, 957 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 477, 957
The greatest common divisor of numbers 828, 477, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 477, 957 is 3.
1. What is the GCD of 828, 477, 957?
GCD of given numbers 828, 477, 957 is 3
2. How to calculate the greatest common divisor of 828, 477, 957?
We can find the highest common divisor of 828, 477, 957 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 828, 477, 957 i.e 3.
3. How can I use the GCD of 828, 477, 957Calculator?
Out the numbers 828, 477, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.