Online GCD Calculator is useful to find the GCD of 972, 967, 291, 396 quickly. Get the easiest ways to solve the greatest common divisor of 972, 967, 291, 396 i.e 1 in different methods as follows.
Given Input numbers are 972, 967, 291, 396
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 967 :
The positive integer divisors of 967 that completely divides 967 are.
1, 967
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
GCD of numbers is the greatest common divisor
So, the GCD (972, 967, 291, 396) = 1.
Given numbers are 972, 967, 291, 396
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 967 are 967
Prime factors of 291 are 3 x 97
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 967, 291, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 967) = 939924
GCD(972, 967) = ( 972 x 967 ) / 939924
= 972 / 967
= 972
Step2:
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
= 1 / 291
= 1
Step3:
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
= 1 / 396
= 1
So, Greatest Common Divisor of 972, 967, 291, 396 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 967, 291, 396
The greatest common divisor of numbers 972, 967, 291, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 967, 291, 396 is 1.
1. What is the GCD of 972, 967, 291, 396?
GCD of given numbers 972, 967, 291, 396 is 1
2. How to calculate the greatest common divisor of 972, 967, 291, 396?
We can find the highest common divisor of 972, 967, 291, 396 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, 967, 291, 396 i.e 1.
3. How can I use the GCD of 972, 967, 291, 396Calculator?
Out the numbers 972, 967, 291, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.