Online GCD Calculator is useful to find the GCD of 852, 360, 808, 745 quickly. Get the easiest ways to solve the greatest common divisor of 852, 360, 808, 745 i.e 1 in different methods as follows.
Given Input numbers are 852, 360, 808, 745
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 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
GCD of numbers is the greatest common divisor
So, the GCD (852, 360, 808, 745) = 1.
Given numbers are 852, 360, 808, 745
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 808 are 2 x 2 x 2 x 101
Prime factors of 745 are 5 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 852, 360, 808, 745
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 360) = 25560
GCD(852, 360) = ( 852 x 360 ) / 25560
= 852 / 360
= 852
Step2:
LCM(12, 808) = 2424
GCD(12, 808) = ( 12 x 808 ) / 2424
= 12 / 808
= 12
Step3:
LCM(4, 745) = 2980
GCD(4, 745) = ( 4 x 745 ) / 2980
= 4 / 745
= 4
So, Greatest Common Divisor of 852, 360, 808, 745 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 360, 808, 745
The greatest common divisor of numbers 852, 360, 808, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 360, 808, 745 is 1.
1. What is the GCD of 852, 360, 808, 745?
GCD of given numbers 852, 360, 808, 745 is 1
2. How to calculate the greatest common divisor of 852, 360, 808, 745?
We can find the highest common divisor of 852, 360, 808, 745 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, 360, 808, 745 i.e 1.
3. How can I use the GCD of 852, 360, 808, 745Calculator?
Out the numbers 852, 360, 808, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.