Online GCD Calculator is useful to find the GCD of 893, 345, 195, 972 quickly. Get the easiest ways to solve the greatest common divisor of 893, 345, 195, 972 i.e 1 in different methods as follows.
Given Input numbers are 893, 345, 195, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 893 :
The positive integer divisors of 893 that completely divides 893 are.
1, 19, 47, 893
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (893, 345, 195, 972) = 1.
Given numbers are 893, 345, 195, 972
The list of prime factors of all numbers are
Prime factors of 893 are 19 x 47
Prime factors of 345 are 3 x 5 x 23
Prime factors of 195 are 3 x 5 x 13
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 893, 345, 195, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(893, 345) = 308085
GCD(893, 345) = ( 893 x 345 ) / 308085
= 893 / 345
= 893
Step2:
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
= 1 / 195
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 893, 345, 195, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 893, 345, 195, 972
The greatest common divisor of numbers 893, 345, 195, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 893, 345, 195, 972 is 1.
1. What is the GCD of 893, 345, 195, 972?
GCD of given numbers 893, 345, 195, 972 is 1
2. How to calculate the greatest common divisor of 893, 345, 195, 972?
We can find the highest common divisor of 893, 345, 195, 972 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 893, 345, 195, 972 i.e 1.
3. How can I use the GCD of 893, 345, 195, 972Calculator?
Out the numbers 893, 345, 195, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.