Online GCD Calculator is useful to find the GCD of 744, 972, 764, 162 quickly. Get the easiest ways to solve the greatest common divisor of 744, 972, 764, 162 i.e 2 in different methods as follows.
Given Input numbers are 744, 972, 764, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (744, 972, 764, 162) = 2.
Given numbers are 744, 972, 764, 162
The list of prime factors of all numbers are
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 764 are 2 x 2 x 191
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 744, 972, 764, 162 is 2.
Given numbers are 744, 972, 764, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(744, 972) = 60264
GCD(744, 972) = ( 744 x 972 ) / 60264
= 744 / 972
= 744
Step2:
LCM(12, 764) = 2292
GCD(12, 764) = ( 12 x 764 ) / 2292
= 12 / 764
= 12
Step3:
LCM(4, 162) = 324
GCD(4, 162) = ( 4 x 162 ) / 324
= 4 / 162
= 4
So, Greatest Common Divisor of 744, 972, 764, 162 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 744, 972, 764, 162
The greatest common divisor of numbers 744, 972, 764, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 972, 764, 162 is 2.
1. What is the GCD of 744, 972, 764, 162?
GCD of given numbers 744, 972, 764, 162 is 2
2. How to calculate the greatest common divisor of 744, 972, 764, 162?
We can find the highest common divisor of 744, 972, 764, 162 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 744, 972, 764, 162 i.e 2.
3. How can I use the GCD of 744, 972, 764, 162Calculator?
Out the numbers 744, 972, 764, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.