Online GCD Calculator is useful to find the GCD of 680, 316, 318, 152 quickly. Get the easiest ways to solve the greatest common divisor of 680, 316, 318, 152 i.e 2 in different methods as follows.
Given Input numbers are 680, 316, 318, 152
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 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
GCD of numbers is the greatest common divisor
So, the GCD (680, 316, 318, 152) = 2.
Given numbers are 680, 316, 318, 152
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 316 are 2 x 2 x 79
Prime factors of 318 are 2 x 3 x 53
Prime factors of 152 are 2 x 2 x 2 x 19
The highest common occurrence is 21
Therefore, GCD of 680, 316, 318, 152 is 2.
Given numbers are 680, 316, 318, 152
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 316) = 53720
GCD(680, 316) = ( 680 x 316 ) / 53720
= 680 / 316
= 680
Step2:
LCM(4, 318) = 636
GCD(4, 318) = ( 4 x 318 ) / 636
= 4 / 318
= 4
Step3:
LCM(2, 152) = 152
GCD(2, 152) = ( 2 x 152 ) / 152
= 2 / 152
= 2
So, Greatest Common Divisor of 680, 316, 318, 152 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 316, 318, 152
The greatest common divisor of numbers 680, 316, 318, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 316, 318, 152 is 2.
1. What is the GCD of 680, 316, 318, 152?
GCD of given numbers 680, 316, 318, 152 is 2
2. How to calculate the greatest common divisor of 680, 316, 318, 152?
We can find the highest common divisor of 680, 316, 318, 152 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, 316, 318, 152 i.e 2.
3. How can I use the GCD of 680, 316, 318, 152Calculator?
Out the numbers 680, 316, 318, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.