Online GCD Calculator is useful to find the GCD of 720, 402, 282, 506 quickly. Get the easiest ways to solve the greatest common divisor of 720, 402, 282, 506 i.e 2 in different methods as follows.
Given Input numbers are 720, 402, 282, 506
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
GCD of numbers is the greatest common divisor
So, the GCD (720, 402, 282, 506) = 2.
Given numbers are 720, 402, 282, 506
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 402 are 2 x 3 x 67
Prime factors of 282 are 2 x 3 x 47
Prime factors of 506 are 2 x 11 x 23
The highest common occurrence is 21
Therefore, GCD of 720, 402, 282, 506 is 2.
Given numbers are 720, 402, 282, 506
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 402) = 48240
GCD(720, 402) = ( 720 x 402 ) / 48240
= 720 / 402
= 720
Step2:
LCM(6, 282) = 282
GCD(6, 282) = ( 6 x 282 ) / 282
= 6 / 282
= 6
Step3:
LCM(6, 506) = 1518
GCD(6, 506) = ( 6 x 506 ) / 1518
= 6 / 506
= 6
So, Greatest Common Divisor of 720, 402, 282, 506 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 402, 282, 506
The greatest common divisor of numbers 720, 402, 282, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 402, 282, 506 is 2.
1. What is the GCD of 720, 402, 282, 506?
GCD of given numbers 720, 402, 282, 506 is 2
2. How to calculate the greatest common divisor of 720, 402, 282, 506?
We can find the highest common divisor of 720, 402, 282, 506 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 720, 402, 282, 506 i.e 2.
3. How can I use the GCD of 720, 402, 282, 506Calculator?
Out the numbers 720, 402, 282, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.