Online GCD Calculator is useful to find the GCD of 680, 342, 670, 182 quickly. Get the easiest ways to solve the greatest common divisor of 680, 342, 670, 182 i.e 2 in different methods as follows.
Given Input numbers are 680, 342, 670, 182
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 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
GCD of numbers is the greatest common divisor
So, the GCD (680, 342, 670, 182) = 2.
Given numbers are 680, 342, 670, 182
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 342 are 2 x 3 x 3 x 19
Prime factors of 670 are 2 x 5 x 67
Prime factors of 182 are 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 680, 342, 670, 182 is 2.
Given numbers are 680, 342, 670, 182
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 342) = 116280
GCD(680, 342) = ( 680 x 342 ) / 116280
= 680 / 342
= 680
Step2:
LCM(2, 670) = 670
GCD(2, 670) = ( 2 x 670 ) / 670
= 2 / 670
= 2
Step3:
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
= 2 / 182
= 2
So, Greatest Common Divisor of 680, 342, 670, 182 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 342, 670, 182
The greatest common divisor of numbers 680, 342, 670, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 342, 670, 182 is 2.
1. What is the GCD of 680, 342, 670, 182?
GCD of given numbers 680, 342, 670, 182 is 2
2. How to calculate the greatest common divisor of 680, 342, 670, 182?
We can find the highest common divisor of 680, 342, 670, 182 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, 342, 670, 182 i.e 2.
3. How can I use the GCD of 680, 342, 670, 182Calculator?
Out the numbers 680, 342, 670, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.