Online GCD Calculator is useful to find the GCD of 972, 111, 371, 302 quickly. Get the easiest ways to solve the greatest common divisor of 972, 111, 371, 302 i.e 1 in different methods as follows.
Given Input numbers are 972, 111, 371, 302
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
GCD of numbers is the greatest common divisor
So, the GCD (972, 111, 371, 302) = 1.
Given numbers are 972, 111, 371, 302
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 111 are 3 x 37
Prime factors of 371 are 7 x 53
Prime factors of 302 are 2 x 151
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 111, 371, 302
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 111) = 35964
GCD(972, 111) = ( 972 x 111 ) / 35964
= 972 / 111
= 972
Step2:
LCM(3, 371) = 1113
GCD(3, 371) = ( 3 x 371 ) / 1113
= 3 / 371
= 3
Step3:
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
= 1 / 302
= 1
So, Greatest Common Divisor of 972, 111, 371, 302 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 111, 371, 302
The greatest common divisor of numbers 972, 111, 371, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 111, 371, 302 is 1.
1. What is the GCD of 972, 111, 371, 302?
GCD of given numbers 972, 111, 371, 302 is 1
2. How to calculate the greatest common divisor of 972, 111, 371, 302?
We can find the highest common divisor of 972, 111, 371, 302 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 972, 111, 371, 302 i.e 1.
3. How can I use the GCD of 972, 111, 371, 302Calculator?
Out the numbers 972, 111, 371, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.