Online GCD Calculator is useful to find the GCD of 975, 382, 132, 338 quickly. Get the easiest ways to solve the greatest common divisor of 975, 382, 132, 338 i.e 1 in different methods as follows.
Given Input numbers are 975, 382, 132, 338
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 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (975, 382, 132, 338) = 1.
Given numbers are 975, 382, 132, 338
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 382 are 2 x 191
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 975, 382, 132, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 382) = 372450
GCD(975, 382) = ( 975 x 382 ) / 372450
= 975 / 382
= 975
Step2:
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
= 1 / 132
= 1
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 975, 382, 132, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 975, 382, 132, 338
The greatest common divisor of numbers 975, 382, 132, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 382, 132, 338 is 1.
1. What is the GCD of 975, 382, 132, 338?
GCD of given numbers 975, 382, 132, 338 is 1
2. How to calculate the greatest common divisor of 975, 382, 132, 338?
We can find the highest common divisor of 975, 382, 132, 338 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, 382, 132, 338 i.e 1.
3. How can I use the GCD of 975, 382, 132, 338Calculator?
Out the numbers 975, 382, 132, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.