Online GCD Calculator is useful to find the GCD of 264, 510, 282, 159 quickly. Get the easiest ways to solve the greatest common divisor of 264, 510, 282, 159 i.e 3 in different methods as follows.
Given Input numbers are 264, 510, 282, 159
In the factoring method, we have to find the divisors of all numbers
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
GCD of numbers is the greatest common divisor
So, the GCD (264, 510, 282, 159) = 3.
Given numbers are 264, 510, 282, 159
The list of prime factors of all numbers are
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 282 are 2 x 3 x 47
Prime factors of 159 are 3 x 53
The highest common occurrence is 31
Therefore, GCD of 264, 510, 282, 159 is 3.
Given numbers are 264, 510, 282, 159
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(264, 510) = 22440
GCD(264, 510) = ( 264 x 510 ) / 22440
= 264 / 510
= 264
Step2:
LCM(6, 282) = 282
GCD(6, 282) = ( 6 x 282 ) / 282
= 6 / 282
= 6
Step3:
LCM(6, 159) = 318
GCD(6, 159) = ( 6 x 159 ) / 318
= 6 / 159
= 6
So, Greatest Common Divisor of 264, 510, 282, 159 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 264, 510, 282, 159
The greatest common divisor of numbers 264, 510, 282, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 510, 282, 159 is 3.
1. What is the GCD of 264, 510, 282, 159?
GCD of given numbers 264, 510, 282, 159 is 3
2. How to calculate the greatest common divisor of 264, 510, 282, 159?
We can find the highest common divisor of 264, 510, 282, 159 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 264, 510, 282, 159 i.e 3.
3. How can I use the GCD of 264, 510, 282, 159Calculator?
Out the numbers 264, 510, 282, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.