Online GCD Calculator is useful to find the GCD of 318, 436, 760, 680 quickly. Get the easiest ways to solve the greatest common divisor of 318, 436, 760, 680 i.e 2 in different methods as follows.
Given Input numbers are 318, 436, 760, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
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
GCD of numbers is the greatest common divisor
So, the GCD (318, 436, 760, 680) = 2.
Given numbers are 318, 436, 760, 680
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 436 are 2 x 2 x 109
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 318, 436, 760, 680 is 2.
Given numbers are 318, 436, 760, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 436) = 69324
GCD(318, 436) = ( 318 x 436 ) / 69324
= 318 / 436
= 318
Step2:
LCM(2, 760) = 760
GCD(2, 760) = ( 2 x 760 ) / 760
= 2 / 760
= 2
Step3:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
So, Greatest Common Divisor of 318, 436, 760, 680 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 436, 760, 680
The greatest common divisor of numbers 318, 436, 760, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 436, 760, 680 is 2.
1. What is the GCD of 318, 436, 760, 680?
GCD of given numbers 318, 436, 760, 680 is 2
2. How to calculate the greatest common divisor of 318, 436, 760, 680?
We can find the highest common divisor of 318, 436, 760, 680 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 318, 436, 760, 680 i.e 2.
3. How can I use the GCD of 318, 436, 760, 680Calculator?
Out the numbers 318, 436, 760, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.