Online GCD Calculator is useful to find the GCD of 680, 470, 172 quickly. Get the easiest ways to solve the greatest common divisor of 680, 470, 172 i.e 2 in different methods as follows.
Given Input numbers are 680, 470, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (680, 470, 172) = 2.
Given numbers are 680, 470, 172
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 470 are 2 x 5 x 47
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 680, 470, 172 is 2.
Given numbers are 680, 470, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 470) = 31960
GCD(680, 470) = ( 680 x 470 ) / 31960
= 680 / 470
= 680
Step2:
LCM(10, 172) = 860
GCD(10, 172) = ( 10 x 172 ) / 860
= 10 / 172
= 10
So, Greatest Common Divisor of 680, 470, 172 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 470, 172
The greatest common divisor of numbers 680, 470, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 470, 172 is 2.
1. What is the GCD of 680, 470, 172?
GCD of given numbers 680, 470, 172 is 2
2. How to calculate the greatest common divisor of 680, 470, 172?
We can find the highest common divisor of 680, 470, 172 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 680, 470, 172 i.e 2.
3. How can I use the GCD of 680, 470, 172Calculator?
Out the numbers 680, 470, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.