Online GCD Calculator is useful to find the GCD of 987, 744, 966, 175 quickly. Get the easiest ways to solve the greatest common divisor of 987, 744, 966, 175 i.e 1 in different methods as follows.
Given Input numbers are 987, 744, 966, 175
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 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
GCD of numbers is the greatest common divisor
So, the GCD (987, 744, 966, 175) = 1.
Given numbers are 987, 744, 966, 175
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 175 are 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 744, 966, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 744) = 244776
GCD(987, 744) = ( 987 x 744 ) / 244776
= 987 / 744
= 987
Step2:
LCM(3, 966) = 966
GCD(3, 966) = ( 3 x 966 ) / 966
= 3 / 966
= 3
Step3:
LCM(3, 175) = 525
GCD(3, 175) = ( 3 x 175 ) / 525
= 3 / 175
= 3
So, Greatest Common Divisor of 987, 744, 966, 175 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 744, 966, 175
The greatest common divisor of numbers 987, 744, 966, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 744, 966, 175 is 1.
1. What is the GCD of 987, 744, 966, 175?
GCD of given numbers 987, 744, 966, 175 is 1
2. How to calculate the greatest common divisor of 987, 744, 966, 175?
We can find the highest common divisor of 987, 744, 966, 175 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, 744, 966, 175 i.e 1.
3. How can I use the GCD of 987, 744, 966, 175Calculator?
Out the numbers 987, 744, 966, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.