Online GCD Calculator is useful to find the GCD of 820, 698, 106, 997 quickly. Get the easiest ways to solve the greatest common divisor of 820, 698, 106, 997 i.e 1 in different methods as follows.
Given Input numbers are 820, 698, 106, 997
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 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (820, 698, 106, 997) = 1.
Given numbers are 820, 698, 106, 997
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 698 are 2 x 349
Prime factors of 106 are 2 x 53
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 698, 106, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 698) = 286180
GCD(820, 698) = ( 820 x 698 ) / 286180
= 820 / 698
= 820
Step2:
LCM(2, 106) = 106
GCD(2, 106) = ( 2 x 106 ) / 106
= 2 / 106
= 2
Step3:
LCM(2, 997) = 1994
GCD(2, 997) = ( 2 x 997 ) / 1994
= 2 / 997
= 2
So, Greatest Common Divisor of 820, 698, 106, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 698, 106, 997
The greatest common divisor of numbers 820, 698, 106, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 698, 106, 997 is 1.
1. What is the GCD of 820, 698, 106, 997?
GCD of given numbers 820, 698, 106, 997 is 1
2. How to calculate the greatest common divisor of 820, 698, 106, 997?
We can find the highest common divisor of 820, 698, 106, 997 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, 698, 106, 997 i.e 1.
3. How can I use the GCD of 820, 698, 106, 997Calculator?
Out the numbers 820, 698, 106, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.