Online GCD Calculator is useful to find the GCD of 694, 172, 392, 500 quickly. Get the easiest ways to solve the greatest common divisor of 694, 172, 392, 500 i.e 2 in different methods as follows.
Given Input numbers are 694, 172, 392, 500
In the factoring method, we have to find the divisors of all numbers
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
GCD of numbers is the greatest common divisor
So, the GCD (694, 172, 392, 500) = 2.
Given numbers are 694, 172, 392, 500
The list of prime factors of all numbers are
Prime factors of 694 are 2 x 347
Prime factors of 172 are 2 x 2 x 43
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 694, 172, 392, 500 is 2.
Given numbers are 694, 172, 392, 500
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(694, 172) = 59684
GCD(694, 172) = ( 694 x 172 ) / 59684
= 694 / 172
= 694
Step2:
LCM(2, 392) = 392
GCD(2, 392) = ( 2 x 392 ) / 392
= 2 / 392
= 2
Step3:
LCM(2, 500) = 500
GCD(2, 500) = ( 2 x 500 ) / 500
= 2 / 500
= 2
So, Greatest Common Divisor of 694, 172, 392, 500 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 694, 172, 392, 500
The greatest common divisor of numbers 694, 172, 392, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 694, 172, 392, 500 is 2.
1. What is the GCD of 694, 172, 392, 500?
GCD of given numbers 694, 172, 392, 500 is 2
2. How to calculate the greatest common divisor of 694, 172, 392, 500?
We can find the highest common divisor of 694, 172, 392, 500 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 694, 172, 392, 500 i.e 2.
3. How can I use the GCD of 694, 172, 392, 500Calculator?
Out the numbers 694, 172, 392, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.