Online GCD Calculator is useful to find the GCD of 975, 117, 918, 293 quickly. Get the easiest ways to solve the greatest common divisor of 975, 117, 918, 293 i.e 1 in different methods as follows.
Given Input numbers are 975, 117, 918, 293
In the factoring method, we have to find the divisors of all numbers
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 293 :
The positive integer divisors of 293 that completely divides 293 are.
1, 293
GCD of numbers is the greatest common divisor
So, the GCD (975, 117, 918, 293) = 1.
Given numbers are 975, 117, 918, 293
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 117 are 3 x 3 x 13
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 293 are 293
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 975, 117, 918, 293
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 117) = 2925
GCD(975, 117) = ( 975 x 117 ) / 2925
= 975 / 117
= 975
Step2:
LCM(39, 918) = 11934
GCD(39, 918) = ( 39 x 918 ) / 11934
= 39 / 918
= 39
Step3:
LCM(3, 293) = 879
GCD(3, 293) = ( 3 x 293 ) / 879
= 3 / 293
= 3
So, Greatest Common Divisor of 975, 117, 918, 293 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 975, 117, 918, 293
The greatest common divisor of numbers 975, 117, 918, 293 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 117, 918, 293 is 1.
1. What is the GCD of 975, 117, 918, 293?
GCD of given numbers 975, 117, 918, 293 is 1
2. How to calculate the greatest common divisor of 975, 117, 918, 293?
We can find the highest common divisor of 975, 117, 918, 293 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 975, 117, 918, 293 i.e 1.
3. How can I use the GCD of 975, 117, 918, 293Calculator?
Out the numbers 975, 117, 918, 293 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.