Online GCD Calculator is useful to find the GCD of 987, 792, 375, 275 quickly. Get the easiest ways to solve the greatest common divisor of 987, 792, 375, 275 i.e 1 in different methods as follows.
Given Input numbers are 987, 792, 375, 275
In the factoring method, we have to find the divisors of all numbers
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
GCD of numbers is the greatest common divisor
So, the GCD (987, 792, 375, 275) = 1.
Given numbers are 987, 792, 375, 275
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 275 are 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 792, 375, 275
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 792) = 260568
GCD(987, 792) = ( 987 x 792 ) / 260568
= 987 / 792
= 987
Step2:
LCM(3, 375) = 375
GCD(3, 375) = ( 3 x 375 ) / 375
= 3 / 375
= 3
Step3:
LCM(3, 275) = 825
GCD(3, 275) = ( 3 x 275 ) / 825
= 3 / 275
= 3
So, Greatest Common Divisor of 987, 792, 375, 275 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 792, 375, 275
The greatest common divisor of numbers 987, 792, 375, 275 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 792, 375, 275 is 1.
1. What is the GCD of 987, 792, 375, 275?
GCD of given numbers 987, 792, 375, 275 is 1
2. How to calculate the greatest common divisor of 987, 792, 375, 275?
We can find the highest common divisor of 987, 792, 375, 275 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 987, 792, 375, 275 i.e 1.
3. How can I use the GCD of 987, 792, 375, 275Calculator?
Out the numbers 987, 792, 375, 275 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.