Online GCD Calculator is useful to find the GCD of 852, 102, 380, 997 quickly. Get the easiest ways to solve the greatest common divisor of 852, 102, 380, 997 i.e 1 in different methods as follows.
Given Input numbers are 852, 102, 380, 997
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
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 (852, 102, 380, 997) = 1.
Given numbers are 852, 102, 380, 997
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 102 are 2 x 3 x 17
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 852, 102, 380, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 102) = 14484
GCD(852, 102) = ( 852 x 102 ) / 14484
= 852 / 102
= 852
Step2:
LCM(6, 380) = 1140
GCD(6, 380) = ( 6 x 380 ) / 1140
= 6 / 380
= 6
Step3:
LCM(2, 997) = 1994
GCD(2, 997) = ( 2 x 997 ) / 1994
= 2 / 997
= 2
So, Greatest Common Divisor of 852, 102, 380, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 102, 380, 997
The greatest common divisor of numbers 852, 102, 380, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 102, 380, 997 is 1.
1. What is the GCD of 852, 102, 380, 997?
GCD of given numbers 852, 102, 380, 997 is 1
2. How to calculate the greatest common divisor of 852, 102, 380, 997?
We can find the highest common divisor of 852, 102, 380, 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 852, 102, 380, 997 i.e 1.
3. How can I use the GCD of 852, 102, 380, 997Calculator?
Out the numbers 852, 102, 380, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.