Online GCD Calculator is useful to find the GCD of 820, 814, 138, 917 quickly. Get the easiest ways to solve the greatest common divisor of 820, 814, 138, 917 i.e 1 in different methods as follows.
Given Input numbers are 820, 814, 138, 917
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 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
GCD of numbers is the greatest common divisor
So, the GCD (820, 814, 138, 917) = 1.
Given numbers are 820, 814, 138, 917
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 814 are 2 x 11 x 37
Prime factors of 138 are 2 x 3 x 23
Prime factors of 917 are 7 x 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 814, 138, 917
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 814) = 333740
GCD(820, 814) = ( 820 x 814 ) / 333740
= 820 / 814
= 820
Step2:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
Step3:
LCM(2, 917) = 1834
GCD(2, 917) = ( 2 x 917 ) / 1834
= 2 / 917
= 2
So, Greatest Common Divisor of 820, 814, 138, 917 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 814, 138, 917
The greatest common divisor of numbers 820, 814, 138, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 814, 138, 917 is 1.
1. What is the GCD of 820, 814, 138, 917?
GCD of given numbers 820, 814, 138, 917 is 1
2. How to calculate the greatest common divisor of 820, 814, 138, 917?
We can find the highest common divisor of 820, 814, 138, 917 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, 814, 138, 917 i.e 1.
3. How can I use the GCD of 820, 814, 138, 917Calculator?
Out the numbers 820, 814, 138, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.