Online GCD Calculator is useful to find the GCD of 820, 314, 145, 880 quickly. Get the easiest ways to solve the greatest common divisor of 820, 314, 145, 880 i.e 1 in different methods as follows.
Given Input numbers are 820, 314, 145, 880
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 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
GCD of numbers is the greatest common divisor
So, the GCD (820, 314, 145, 880) = 1.
Given numbers are 820, 314, 145, 880
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 314 are 2 x 157
Prime factors of 145 are 5 x 29
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 314, 145, 880
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 314) = 128740
GCD(820, 314) = ( 820 x 314 ) / 128740
= 820 / 314
= 820
Step2:
LCM(2, 145) = 290
GCD(2, 145) = ( 2 x 145 ) / 290
= 2 / 145
= 2
Step3:
LCM(1, 880) = 880
GCD(1, 880) = ( 1 x 880 ) / 880
= 1 / 880
= 1
So, Greatest Common Divisor of 820, 314, 145, 880 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 314, 145, 880
The greatest common divisor of numbers 820, 314, 145, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 314, 145, 880 is 1.
1. What is the GCD of 820, 314, 145, 880?
GCD of given numbers 820, 314, 145, 880 is 1
2. How to calculate the greatest common divisor of 820, 314, 145, 880?
We can find the highest common divisor of 820, 314, 145, 880 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, 314, 145, 880 i.e 1.
3. How can I use the GCD of 820, 314, 145, 880Calculator?
Out the numbers 820, 314, 145, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.