Online GCD Calculator is useful to find the GCD of 975, 112, 829, 144 quickly. Get the easiest ways to solve the greatest common divisor of 975, 112, 829, 144 i.e 1 in different methods as follows.
Given Input numbers are 975, 112, 829, 144
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 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (975, 112, 829, 144) = 1.
Given numbers are 975, 112, 829, 144
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 829 are 829
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 975, 112, 829, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 112) = 109200
GCD(975, 112) = ( 975 x 112 ) / 109200
= 975 / 112
= 975
Step2:
LCM(1, 829) = 829
GCD(1, 829) = ( 1 x 829 ) / 829
= 1 / 829
= 1
Step3:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
So, Greatest Common Divisor of 975, 112, 829, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 975, 112, 829, 144
The greatest common divisor of numbers 975, 112, 829, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 112, 829, 144 is 1.
1. What is the GCD of 975, 112, 829, 144?
GCD of given numbers 975, 112, 829, 144 is 1
2. How to calculate the greatest common divisor of 975, 112, 829, 144?
We can find the highest common divisor of 975, 112, 829, 144 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, 112, 829, 144 i.e 1.
3. How can I use the GCD of 975, 112, 829, 144Calculator?
Out the numbers 975, 112, 829, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.