Online GCD Calculator is useful to find the GCD of 680, 624, 342 quickly. Get the easiest ways to solve the greatest common divisor of 680, 624, 342 i.e 2 in different methods as follows.
Given Input numbers are 680, 624, 342
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 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
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
GCD of numbers is the greatest common divisor
So, the GCD (680, 624, 342) = 2.
Given numbers are 680, 624, 342
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 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 680, 624, 342 is 2.
Given numbers are 680, 624, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 624) = 53040
GCD(680, 624) = ( 680 x 624 ) / 53040
= 680 / 624
= 680
Step2:
LCM(8, 342) = 1368
GCD(8, 342) = ( 8 x 342 ) / 1368
= 8 / 342
= 8
So, Greatest Common Divisor of 680, 624, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 624, 342
The greatest common divisor of numbers 680, 624, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 624, 342 is 2.
1. What is the GCD of 680, 624, 342?
GCD of given numbers 680, 624, 342 is 2
2. How to calculate the greatest common divisor of 680, 624, 342?
We can find the highest common divisor of 680, 624, 342 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, 624, 342 i.e 2.
3. How can I use the GCD of 680, 624, 342Calculator?
Out the numbers 680, 624, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.