Online GCD Calculator is useful to find the GCD of 264, 300, 738, 972 quickly. Get the easiest ways to solve the greatest common divisor of 264, 300, 738, 972 i.e 6 in different methods as follows.
Given Input numbers are 264, 300, 738, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
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 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 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 (264, 300, 738, 972) = 6.
Given numbers are 264, 300, 738, 972
The list of prime factors of all numbers are
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 264, 300, 738, 972 is 6.
Given numbers are 264, 300, 738, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(264, 300) = 6600
GCD(264, 300) = ( 264 x 300 ) / 6600
= 264 / 300
= 264
Step2:
LCM(12, 738) = 1476
GCD(12, 738) = ( 12 x 738 ) / 1476
= 12 / 738
= 12
Step3:
LCM(6, 972) = 972
GCD(6, 972) = ( 6 x 972 ) / 972
= 6 / 972
= 6
So, Greatest Common Divisor of 264, 300, 738, 972 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 264, 300, 738, 972
The greatest common divisor of numbers 264, 300, 738, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 300, 738, 972 is 6.
1. What is the GCD of 264, 300, 738, 972?
GCD of given numbers 264, 300, 738, 972 is 6
2. How to calculate the greatest common divisor of 264, 300, 738, 972?
We can find the highest common divisor of 264, 300, 738, 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 264, 300, 738, 972 i.e 6.
3. How can I use the GCD of 264, 300, 738, 972Calculator?
Out the numbers 264, 300, 738, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.