Online GCD Calculator is useful to find the GCD of 882, 540, 960, 782 quickly. Get the easiest ways to solve the greatest common divisor of 882, 540, 960, 782 i.e 2 in different methods as follows.
Given Input numbers are 882, 540, 960, 782
In the factoring method, we have to find the divisors of all numbers
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
GCD of numbers is the greatest common divisor
So, the GCD (882, 540, 960, 782) = 2.
Given numbers are 882, 540, 960, 782
The list of prime factors of all numbers are
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 782 are 2 x 17 x 23
The highest common occurrence is 21
Therefore, GCD of 882, 540, 960, 782 is 2.
Given numbers are 882, 540, 960, 782
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 540) = 26460
GCD(882, 540) = ( 882 x 540 ) / 26460
= 882 / 540
= 882
Step2:
LCM(18, 960) = 2880
GCD(18, 960) = ( 18 x 960 ) / 2880
= 18 / 960
= 18
Step3:
LCM(6, 782) = 2346
GCD(6, 782) = ( 6 x 782 ) / 2346
= 6 / 782
= 6
So, Greatest Common Divisor of 882, 540, 960, 782 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 540, 960, 782
The greatest common divisor of numbers 882, 540, 960, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 540, 960, 782 is 2.
1. What is the GCD of 882, 540, 960, 782?
GCD of given numbers 882, 540, 960, 782 is 2
2. How to calculate the greatest common divisor of 882, 540, 960, 782?
We can find the highest common divisor of 882, 540, 960, 782 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 882, 540, 960, 782 i.e 2.
3. How can I use the GCD of 882, 540, 960, 782Calculator?
Out the numbers 882, 540, 960, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.