Online GCD Calculator is useful to find the GCD of 672, 520, 214 quickly. Get the easiest ways to solve the greatest common divisor of 672, 520, 214 i.e 2 in different methods as follows.
Given Input numbers are 672, 520, 214
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 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
GCD of numbers is the greatest common divisor
So, the GCD (672, 520, 214) = 2.
Given numbers are 672, 520, 214
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 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 214 are 2 x 107
The highest common occurrence is 21
Therefore, GCD of 672, 520, 214 is 2.
Given numbers are 672, 520, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 520) = 43680
GCD(672, 520) = ( 672 x 520 ) / 43680
= 672 / 520
= 672
Step2:
LCM(8, 214) = 856
GCD(8, 214) = ( 8 x 214 ) / 856
= 8 / 214
= 8
So, Greatest Common Divisor of 672, 520, 214 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 520, 214
The greatest common divisor of numbers 672, 520, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 520, 214 is 2.
1. What is the GCD of 672, 520, 214?
GCD of given numbers 672, 520, 214 is 2
2. How to calculate the greatest common divisor of 672, 520, 214?
We can find the highest common divisor of 672, 520, 214 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, 520, 214 i.e 2.
3. How can I use the GCD of 672, 520, 214Calculator?
Out the numbers 672, 520, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.