Online GCD Calculator is useful to find the GCD of 820, 758, 160, 871 quickly. Get the easiest ways to solve the greatest common divisor of 820, 758, 160, 871 i.e 1 in different methods as follows.
Given Input numbers are 820, 758, 160, 871
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 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
GCD of numbers is the greatest common divisor
So, the GCD (820, 758, 160, 871) = 1.
Given numbers are 820, 758, 160, 871
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 758 are 2 x 379
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 871 are 13 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 758, 160, 871
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 758) = 310780
GCD(820, 758) = ( 820 x 758 ) / 310780
= 820 / 758
= 820
Step2:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
Step3:
LCM(2, 871) = 1742
GCD(2, 871) = ( 2 x 871 ) / 1742
= 2 / 871
= 2
So, Greatest Common Divisor of 820, 758, 160, 871 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 758, 160, 871
The greatest common divisor of numbers 820, 758, 160, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 758, 160, 871 is 1.
1. What is the GCD of 820, 758, 160, 871?
GCD of given numbers 820, 758, 160, 871 is 1
2. How to calculate the greatest common divisor of 820, 758, 160, 871?
We can find the highest common divisor of 820, 758, 160, 871 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, 758, 160, 871 i.e 1.
3. How can I use the GCD of 820, 758, 160, 871Calculator?
Out the numbers 820, 758, 160, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.