Online GCD Calculator is useful to find the GCD of 672, 600, 518, 614 quickly. Get the easiest ways to solve the greatest common divisor of 672, 600, 518, 614 i.e 2 in different methods as follows.
Given Input numbers are 672, 600, 518, 614
In the factoring method, we have to find the divisors of all numbers
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
GCD of numbers is the greatest common divisor
So, the GCD (672, 600, 518, 614) = 2.
Given numbers are 672, 600, 518, 614
The list of prime factors of all numbers are
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 518 are 2 x 7 x 37
Prime factors of 614 are 2 x 307
The highest common occurrence is 21
Therefore, GCD of 672, 600, 518, 614 is 2.
Given numbers are 672, 600, 518, 614
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 600) = 16800
GCD(672, 600) = ( 672 x 600 ) / 16800
= 672 / 600
= 672
Step2:
LCM(24, 518) = 6216
GCD(24, 518) = ( 24 x 518 ) / 6216
= 24 / 518
= 24
Step3:
LCM(2, 614) = 614
GCD(2, 614) = ( 2 x 614 ) / 614
= 2 / 614
= 2
So, Greatest Common Divisor of 672, 600, 518, 614 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 600, 518, 614
The greatest common divisor of numbers 672, 600, 518, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 600, 518, 614 is 2.
1. What is the GCD of 672, 600, 518, 614?
GCD of given numbers 672, 600, 518, 614 is 2
2. How to calculate the greatest common divisor of 672, 600, 518, 614?
We can find the highest common divisor of 672, 600, 518, 614 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 672, 600, 518, 614 i.e 2.
3. How can I use the GCD of 672, 600, 518, 614Calculator?
Out the numbers 672, 600, 518, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.