Online GCD Calculator is useful to find the GCD of 320, 118, 987, 975 quickly. Get the easiest ways to solve the greatest common divisor of 320, 118, 987, 975 i.e 1 in different methods as follows.
Given Input numbers are 320, 118, 987, 975
In the factoring method, we have to find the divisors of all numbers
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
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
GCD of numbers is the greatest common divisor
So, the GCD (320, 118, 987, 975) = 1.
Given numbers are 320, 118, 987, 975
The list of prime factors of all numbers are
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 118 are 2 x 59
Prime factors of 987 are 3 x 7 x 47
Prime factors of 975 are 3 x 5 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 320, 118, 987, 975
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 118) = 18880
GCD(320, 118) = ( 320 x 118 ) / 18880
= 320 / 118
= 320
Step2:
LCM(2, 987) = 1974
GCD(2, 987) = ( 2 x 987 ) / 1974
= 2 / 987
= 2
Step3:
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
= 1 / 975
= 1
So, Greatest Common Divisor of 320, 118, 987, 975 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 320, 118, 987, 975
The greatest common divisor of numbers 320, 118, 987, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 118, 987, 975 is 1.
1. What is the GCD of 320, 118, 987, 975?
GCD of given numbers 320, 118, 987, 975 is 1
2. How to calculate the greatest common divisor of 320, 118, 987, 975?
We can find the highest common divisor of 320, 118, 987, 975 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 320, 118, 987, 975 i.e 1.
3. How can I use the GCD of 320, 118, 987, 975Calculator?
Out the numbers 320, 118, 987, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.