Online GCD Calculator is useful to find the GCD of 360, 291, 744, 651 quickly. Get the easiest ways to solve the greatest common divisor of 360, 291, 744, 651 i.e 3 in different methods as follows.
Given Input numbers are 360, 291, 744, 651
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
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 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
GCD of numbers is the greatest common divisor
So, the GCD (360, 291, 744, 651) = 3.
Given numbers are 360, 291, 744, 651
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 291 are 3 x 97
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 651 are 3 x 7 x 31
The highest common occurrence is 31
Therefore, GCD of 360, 291, 744, 651 is 3.
Given numbers are 360, 291, 744, 651
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 291) = 34920
GCD(360, 291) = ( 360 x 291 ) / 34920
= 360 / 291
= 360
Step2:
LCM(3, 744) = 744
GCD(3, 744) = ( 3 x 744 ) / 744
= 3 / 744
= 3
Step3:
LCM(3, 651) = 651
GCD(3, 651) = ( 3 x 651 ) / 651
= 3 / 651
= 3
So, Greatest Common Divisor of 360, 291, 744, 651 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 291, 744, 651
The greatest common divisor of numbers 360, 291, 744, 651 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 291, 744, 651 is 3.
1. What is the GCD of 360, 291, 744, 651?
GCD of given numbers 360, 291, 744, 651 is 3
2. How to calculate the greatest common divisor of 360, 291, 744, 651?
We can find the highest common divisor of 360, 291, 744, 651 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 360, 291, 744, 651 i.e 3.
3. How can I use the GCD of 360, 291, 744, 651Calculator?
Out the numbers 360, 291, 744, 651 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.