Online GCD Calculator is useful to find the GCD of 684, 172, 722, 932 quickly. Get the easiest ways to solve the greatest common divisor of 684, 172, 722, 932 i.e 2 in different methods as follows.
Given Input numbers are 684, 172, 722, 932
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 932 :
The positive integer divisors of 932 that completely divides 932 are.
1, 2, 4, 233, 466, 932
GCD of numbers is the greatest common divisor
So, the GCD (684, 172, 722, 932) = 2.
Given numbers are 684, 172, 722, 932
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 172 are 2 x 2 x 43
Prime factors of 722 are 2 x 19 x 19
Prime factors of 932 are 2 x 2 x 233
The highest common occurrence is 21
Therefore, GCD of 684, 172, 722, 932 is 2.
Given numbers are 684, 172, 722, 932
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 172) = 29412
GCD(684, 172) = ( 684 x 172 ) / 29412
= 684 / 172
= 684
Step2:
LCM(4, 722) = 1444
GCD(4, 722) = ( 4 x 722 ) / 1444
= 4 / 722
= 4
Step3:
LCM(2, 932) = 932
GCD(2, 932) = ( 2 x 932 ) / 932
= 2 / 932
= 2
So, Greatest Common Divisor of 684, 172, 722, 932 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 172, 722, 932
The greatest common divisor of numbers 684, 172, 722, 932 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 172, 722, 932 is 2.
1. What is the GCD of 684, 172, 722, 932?
GCD of given numbers 684, 172, 722, 932 is 2
2. How to calculate the greatest common divisor of 684, 172, 722, 932?
We can find the highest common divisor of 684, 172, 722, 932 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 684, 172, 722, 932 i.e 2.
3. How can I use the GCD of 684, 172, 722, 932Calculator?
Out the numbers 684, 172, 722, 932 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.