Online GCD Calculator is useful to find the GCD of 972, 306, 738, 209 quickly. Get the easiest ways to solve the greatest common divisor of 972, 306, 738, 209 i.e 1 in different methods as follows.
Given Input numbers are 972, 306, 738, 209
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 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
GCD of numbers is the greatest common divisor
So, the GCD (972, 306, 738, 209) = 1.
Given numbers are 972, 306, 738, 209
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 306 are 2 x 3 x 3 x 17
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 209 are 11 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 306, 738, 209
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 306) = 16524
GCD(972, 306) = ( 972 x 306 ) / 16524
= 972 / 306
= 972
Step2:
LCM(18, 738) = 738
GCD(18, 738) = ( 18 x 738 ) / 738
= 18 / 738
= 18
Step3:
LCM(18, 209) = 3762
GCD(18, 209) = ( 18 x 209 ) / 3762
= 18 / 209
= 18
So, Greatest Common Divisor of 972, 306, 738, 209 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 306, 738, 209
The greatest common divisor of numbers 972, 306, 738, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 306, 738, 209 is 1.
1. What is the GCD of 972, 306, 738, 209?
GCD of given numbers 972, 306, 738, 209 is 1
2. How to calculate the greatest common divisor of 972, 306, 738, 209?
We can find the highest common divisor of 972, 306, 738, 209 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, 306, 738, 209 i.e 1.
3. How can I use the GCD of 972, 306, 738, 209Calculator?
Out the numbers 972, 306, 738, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.