Online GCD Calculator is useful to find the GCD of 310, 882, 763, 820 quickly. Get the easiest ways to solve the greatest common divisor of 310, 882, 763, 820 i.e 1 in different methods as follows.
Given Input numbers are 310, 882, 763, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 763 :
The positive integer divisors of 763 that completely divides 763 are.
1, 7, 109, 763
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
GCD of numbers is the greatest common divisor
So, the GCD (310, 882, 763, 820) = 1.
Given numbers are 310, 882, 763, 820
The list of prime factors of all numbers are
Prime factors of 310 are 2 x 5 x 31
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 763 are 7 x 109
Prime factors of 820 are 2 x 2 x 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 310, 882, 763, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(310, 882) = 136710
GCD(310, 882) = ( 310 x 882 ) / 136710
= 310 / 882
= 310
Step2:
LCM(2, 763) = 1526
GCD(2, 763) = ( 2 x 763 ) / 1526
= 2 / 763
= 2
Step3:
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
= 1 / 820
= 1
So, Greatest Common Divisor of 310, 882, 763, 820 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 310, 882, 763, 820
The greatest common divisor of numbers 310, 882, 763, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 882, 763, 820 is 1.
1. What is the GCD of 310, 882, 763, 820?
GCD of given numbers 310, 882, 763, 820 is 1
2. How to calculate the greatest common divisor of 310, 882, 763, 820?
We can find the highest common divisor of 310, 882, 763, 820 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 310, 882, 763, 820 i.e 1.
3. How can I use the GCD of 310, 882, 763, 820Calculator?
Out the numbers 310, 882, 763, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.