Online GCD Calculator is useful to find the GCD of 672, 164, 694, 716 quickly. Get the easiest ways to solve the greatest common divisor of 672, 164, 694, 716 i.e 2 in different methods as follows.
Given Input numbers are 672, 164, 694, 716
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 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
GCD of numbers is the greatest common divisor
So, the GCD (672, 164, 694, 716) = 2.
Given numbers are 672, 164, 694, 716
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 164 are 2 x 2 x 41
Prime factors of 694 are 2 x 347
Prime factors of 716 are 2 x 2 x 179
The highest common occurrence is 21
Therefore, GCD of 672, 164, 694, 716 is 2.
Given numbers are 672, 164, 694, 716
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 164) = 27552
GCD(672, 164) = ( 672 x 164 ) / 27552
= 672 / 164
= 672
Step2:
LCM(4, 694) = 1388
GCD(4, 694) = ( 4 x 694 ) / 1388
= 4 / 694
= 4
Step3:
LCM(2, 716) = 716
GCD(2, 716) = ( 2 x 716 ) / 716
= 2 / 716
= 2
So, Greatest Common Divisor of 672, 164, 694, 716 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 164, 694, 716
The greatest common divisor of numbers 672, 164, 694, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 164, 694, 716 is 2.
1. What is the GCD of 672, 164, 694, 716?
GCD of given numbers 672, 164, 694, 716 is 2
2. How to calculate the greatest common divisor of 672, 164, 694, 716?
We can find the highest common divisor of 672, 164, 694, 716 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, 164, 694, 716 i.e 2.
3. How can I use the GCD of 672, 164, 694, 716Calculator?
Out the numbers 672, 164, 694, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.