Online GCD Calculator is useful to find the GCD of 118, 300, 321, 972 quickly. Get the easiest ways to solve the greatest common divisor of 118, 300, 321, 972 i.e 1 in different methods as follows.
Given Input numbers are 118, 300, 321, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (118, 300, 321, 972) = 1.
Given numbers are 118, 300, 321, 972
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 321 are 3 x 107
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 118, 300, 321, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 300) = 17700
GCD(118, 300) = ( 118 x 300 ) / 17700
= 118 / 300
= 118
Step2:
LCM(2, 321) = 642
GCD(2, 321) = ( 2 x 321 ) / 642
= 2 / 321
= 2
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 118, 300, 321, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 118, 300, 321, 972
The greatest common divisor of numbers 118, 300, 321, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 300, 321, 972 is 1.
1. What is the GCD of 118, 300, 321, 972?
GCD of given numbers 118, 300, 321, 972 is 1
2. How to calculate the greatest common divisor of 118, 300, 321, 972?
We can find the highest common divisor of 118, 300, 321, 972 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 118, 300, 321, 972 i.e 1.
3. How can I use the GCD of 118, 300, 321, 972Calculator?
Out the numbers 118, 300, 321, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.