Online GCD Calculator is useful to find the GCD of 820, 496, 310, 687 quickly. Get the easiest ways to solve the greatest common divisor of 820, 496, 310, 687 i.e 1 in different methods as follows.
Given Input numbers are 820, 496, 310, 687
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (820, 496, 310, 687) = 1.
Given numbers are 820, 496, 310, 687
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 310 are 2 x 5 x 31
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 496, 310, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 496) = 101680
GCD(820, 496) = ( 820 x 496 ) / 101680
= 820 / 496
= 820
Step2:
LCM(4, 310) = 620
GCD(4, 310) = ( 4 x 310 ) / 620
= 4 / 310
= 4
Step3:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
So, Greatest Common Divisor of 820, 496, 310, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 496, 310, 687
The greatest common divisor of numbers 820, 496, 310, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 496, 310, 687 is 1.
1. What is the GCD of 820, 496, 310, 687?
GCD of given numbers 820, 496, 310, 687 is 1
2. How to calculate the greatest common divisor of 820, 496, 310, 687?
We can find the highest common divisor of 820, 496, 310, 687 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 820, 496, 310, 687 i.e 1.
3. How can I use the GCD of 820, 496, 310, 687Calculator?
Out the numbers 820, 496, 310, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.