Online GCD Calculator is useful to find the GCD of 282, 130, 116, 628 quickly. Get the easiest ways to solve the greatest common divisor of 282, 130, 116, 628 i.e 2 in different methods as follows.
Given Input numbers are 282, 130, 116, 628
In the factoring method, we have to find the divisors of all numbers
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
GCD of numbers is the greatest common divisor
So, the GCD (282, 130, 116, 628) = 2.
Given numbers are 282, 130, 116, 628
The list of prime factors of all numbers are
Prime factors of 282 are 2 x 3 x 47
Prime factors of 130 are 2 x 5 x 13
Prime factors of 116 are 2 x 2 x 29
Prime factors of 628 are 2 x 2 x 157
The highest common occurrence is 21
Therefore, GCD of 282, 130, 116, 628 is 2.
Given numbers are 282, 130, 116, 628
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(282, 130) = 18330
GCD(282, 130) = ( 282 x 130 ) / 18330
= 282 / 130
= 282
Step2:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
Step3:
LCM(2, 628) = 628
GCD(2, 628) = ( 2 x 628 ) / 628
= 2 / 628
= 2
So, Greatest Common Divisor of 282, 130, 116, 628 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 282, 130, 116, 628
The greatest common divisor of numbers 282, 130, 116, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 282, 130, 116, 628 is 2.
1. What is the GCD of 282, 130, 116, 628?
GCD of given numbers 282, 130, 116, 628 is 2
2. How to calculate the greatest common divisor of 282, 130, 116, 628?
We can find the highest common divisor of 282, 130, 116, 628 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 282, 130, 116, 628 i.e 2.
3. How can I use the GCD of 282, 130, 116, 628Calculator?
Out the numbers 282, 130, 116, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.