Online GCD Calculator is useful to find the GCD of 654, 316, 510, 628 quickly. Get the easiest ways to solve the greatest common divisor of 654, 316, 510, 628 i.e 2 in different methods as follows.
Given Input numbers are 654, 316, 510, 628
In the factoring method, we have to find the divisors of all numbers
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
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 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 (654, 316, 510, 628) = 2.
Given numbers are 654, 316, 510, 628
The list of prime factors of all numbers are
Prime factors of 654 are 2 x 3 x 109
Prime factors of 316 are 2 x 2 x 79
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 628 are 2 x 2 x 157
The highest common occurrence is 21
Therefore, GCD of 654, 316, 510, 628 is 2.
Given numbers are 654, 316, 510, 628
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(654, 316) = 103332
GCD(654, 316) = ( 654 x 316 ) / 103332
= 654 / 316
= 654
Step2:
LCM(2, 510) = 510
GCD(2, 510) = ( 2 x 510 ) / 510
= 2 / 510
= 2
Step3:
LCM(2, 628) = 628
GCD(2, 628) = ( 2 x 628 ) / 628
= 2 / 628
= 2
So, Greatest Common Divisor of 654, 316, 510, 628 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 654, 316, 510, 628
The greatest common divisor of numbers 654, 316, 510, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 316, 510, 628 is 2.
1. What is the GCD of 654, 316, 510, 628?
GCD of given numbers 654, 316, 510, 628 is 2
2. How to calculate the greatest common divisor of 654, 316, 510, 628?
We can find the highest common divisor of 654, 316, 510, 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 654, 316, 510, 628 i.e 2.
3. How can I use the GCD of 654, 316, 510, 628Calculator?
Out the numbers 654, 316, 510, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.